{"id":61247,"date":"2023-04-03T12:30:00","date_gmt":"2023-04-03T07:00:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61247"},"modified":"2023-12-21T12:19:20","modified_gmt":"2023-12-21T06:49:20","slug":"rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/","title":{"rendered":"RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions (Updated For 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-139362\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-13-Geometrical-Constructions.jpg\" alt=\"RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-13-Geometrical-Constructions.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-13-Geometrical-Constructions-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions:<\/strong> Start your Class 9 Maths exam preparation with the <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-9-maths-solutions\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 9 Maths<\/a>. You can always rely on the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions for your exam prep as well as class assignments. Subject matter experts have designed the solutions of RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&nbsp;in a well-explained way.<\/p>\n<p>Download the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&nbsp;Free PDF by using the link given in the blog. To know more, read the whole blog.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d416be03434\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d416be03434\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#download-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\" title=\"Download RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF\">Download RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#i\" title=\"RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions &#8211; Overview\">RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions &#8211; Overview<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#access-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\" title=\"Access The RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions\">Access The RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-1\" title=\"Solution 1\">Solution 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-2\" title=\"Solution 2\">Solution 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-3\" title=\"Solution 3\">Solution 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-4i\" title=\"Solution 4(i)\">Solution 4(i)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-4ii\" title=\"Solution 4(ii)\">Solution 4(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-4iii\" title=\"Solution 4(iii)\">Solution 4(iii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-4iv\" title=\"Solution 4(iv)\">Solution 4(iv)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-4v\" title=\"Solution 4(v)\">Solution 4(v)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-5\" title=\"Solution 5\">Solution 5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-6\" title=\"Solution 6\">Solution 6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-7\" title=\"Solution 7\">Solution 7<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-8\" title=\"Solution 8\">Solution 8<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-9\" title=\"Solution 9\">Solution 9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-10\" title=\"Solution 10\">Solution 10<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-11\" title=\"Solution 11\">Solution 11<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-12\" title=\"Solution 12\">Solution 12<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-13\" title=\"Solution 13\">Solution 13<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-14\" title=\"Solution 14\">Solution 14<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-15\" title=\"Solution 15\">Solution 15<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-16\" title=\"Solution 16\">Solution 16<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-17i\" title=\"Solution 17(i)\">Solution 17(i)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-17ii\" title=\"Solution 17(ii)\">Solution 17(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-17iii\" title=\"Solution 17(iii)\">Solution 17(iii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-17iv\" title=\"Solution 17(iv)\">Solution 17(iv)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-18\" title=\"Solution 18\">Solution 18<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-29\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-19\" title=\"Solution 19\">Solution 19<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-30\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-20\" title=\"Solution 20\">Solution 20<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-31\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#solution-21\" title=\"Solution 21\">Solution 21<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-32\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\" title=\"FAQs on RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions\">FAQs on RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-33\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\" title=\"From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?\">From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-34\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\" title=\"How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?\">How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-35\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#can-i-access-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf-offline\" title=\"Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF Offline?\">Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF Offline?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-36\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#is-the-rs-aggarwal-solutions-class-9-maths-chapter-13-%e2%80%93-geometrical-constructions-pdf-a-credible-source-for-class-9-maths-exam-preparation\" title=\"Is the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions PDF a credible source for Class 9 Maths exam preparation?\">Is the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions PDF a credible source for Class 9 Maths exam preparation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-37\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#how-many-exercises-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-13\" title=\"How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 13?\">How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 13?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-38\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/#how-many-questions-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-13-ex-131\" title=\"How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 13 Ex 13.1?\">How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 13 Ex 13.1?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/RS-Aggarwal-Class-9-Maths-Chapter-13.pdf\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/RS-Aggarwal-Class-9-Maths-Chapter-13.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"i\"><\/span><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&quot;}\" data-sheets-userformat=\"&quot;\">RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions &#8211; Overview<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In Chapter 13 of RS Aggarwal Solutions Class 9 Maths, you will know many things like line segments using a ruler, compass, protractor, and more. You will learn about the construction of various geometrical shapes and figures, like bisecting angles or lines.&nbsp;<\/p>\n<p>You will also learn about triangle construction with different cases, mentioned below:<\/p>\n<ol>\n<li dir=\"ltr\" role=\"presentation\">Two lower or base angles are there with the perimeter.<\/li>\n<li dir=\"ltr\" role=\"presentation\">One of the base angles and differences between any two other sides.<\/li>\n<li dir=\"ltr\" role=\"presentation\">Length of the base, one of the base angles, and the sum of any two sides.<\/li>\n<\/ol>\n<ul>\n<li>There is a single exercise in Chapter 13 with 21 questions in total. These questions are based on different types of construction.&nbsp;<\/li>\n<li>In the beginning, you have to draw a perpendicular bisector of a particular line.<\/li>\n<li>Now you have constructions and measurements of an 80-degree angle and then bisect it.<\/li>\n<li>Then, you have to construct, by only using a ruler and compass, a 90-degree angle, and then bisect it.<\/li>\n<li>Further, you need to construct triangles with various conditions such as only two angles given or one side and one angle given.<\/li>\n<li>As you proceed into the chapter, you will study concepts of equilateral and right-angled triangles along with the construction of squares.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"access-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\"><\/span>Access The RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<section class=\"abt--tl-sec\">\n<div class=\"exc-cont\">\n<div id=\"pg1\" class=\"soln-cont\">\n<div class=\"soln-ttl\">\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-1\"><\/span>Solution 1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw line segment AB = 5.6 cm<\/li>\n<li class=\"\">With A as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius more than half of AB, draw two arcs, one on each side of AB.<\/li>\n<li class=\"\">With B as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and the same radius as in step 2, draw arcs cutting the arcs drawn in the previous step at P and Q respectively.<\/li>\n<li class=\"\">Join PQ to intersect AB at M.<\/li>\n<\/ol>\n<p>Thus, PQ is the required perpendicular bisector of AB.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image001.png\" alt=\" \" width=\"348\" height=\"311\"><\/p>\n<p>AM = BM = 2.8 cm<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-2\"><\/span>Solution 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<p>1.&nbsp;Draw ray OB.<\/p>\n<p>2.&nbsp;With the help of protractor construct an angle AOB of measure 80\u00b0.<\/p>\n<p>3.&nbsp;With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;O and convenient radius draw an arc cutting sides OA and OB at Q and P respectively.<\/p>\n<p>4.&nbsp;With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;Q and radius more than half of PQ, draw an arc.<\/p>\n<p>5.&nbsp;With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and the same radius, as in the previous step, draw another arc intersecting the arc drawn in the previous step at R.<\/p>\n<p>6.&nbsp;Join OR and produce it to form ray OX.<\/p>\n<p>Then, OX is the required bisector of&nbsp;\u2220AOB.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image002.png\" alt=\" \" width=\"181\" height=\"177\">&nbsp;<\/p>\n<p>\u2220AOX =&nbsp;\u2220BOX = 40\u00b0&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-3\"><\/span>Solution 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Step of Construction:<\/p>\n<p>(i) Draw a line segment OA.<\/p>\n<p>(ii) With O as centre and any suitable radius draw an arc, cutting OA at B.<\/p>\n<p>(iii) With B as centre and the same radius cut the previously drawn arc at C.<\/p>\n<p>(iv) With C as centre and the same radius cut the arc at D.<\/p>\n<p>(v) With C as centre and the radius more than half CD draw an arc.<\/p>\n<p>(vi) With D as centre and the same radius draw another arc which cuts the previous arc at E.<\/p>\n<p>(vii) Join ENow,&nbsp;<sub><img src=\"https:\/\/images.topperlearning.com\/topper\/bookquestions\/186132_image005.gif\" alt=\"\" width=\"16\" height=\"16\"><\/sub>AOE =90<sup>0<\/sup><\/p>\n<p>(viii) Now with B as centre and radius more than half of CB draw an arc.<\/p>\n<p>(iv) With C as centre and same radius draw an arc which cuts the previousat F.<\/p>\n<p>(x) Join OF.<\/p>\n<p><sub>(xi)&nbsp;<img src=\"https:\/\/images.topperlearning.com\/topper\/bookquestions\/186132_image002.gif\" alt=\"\" width=\"13\" height=\"13\"><\/sub>F is the bisector of right&nbsp;<sub><img src=\"https:\/\/images.topperlearning.com\/topper\/bookquestions\/186132_image005.gif\" alt=\"\" width=\"16\" height=\"16\"><\/sub>AOE.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/bookquestions\/186132_image009.jpg\" alt=\"\" width=\"330\" height=\"227\"><\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-4i\"><\/span>Solution 4(i)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment PQ.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and any radius, draw an arc which intersects PQ at R.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;R and same radius, draw an arc which intersects previous arc at S.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;S and same radius, draw an arc which intersects arc in step 2 at T.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;T and S and radius more than half of TS, draw arcs intersecting each other at U.<\/li>\n<li class=\"\">Join PU which intersects arc in step 2 at V.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;V and S and radius more than half of VS, draw arcs intersecting each other at W.<\/li>\n<li class=\"\">Join PW.<\/li>\n<\/ol>\n<p>\u2220WPQ = 75\u00b0&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image003.png\" alt=\" \" width=\"293\" height=\"203\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-4ii\"><\/span>Solution 4(ii)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment PQ.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and any radius, draw an arc which intersects PQ at R.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;R and same radius, draw an arc which intersects previous arc at S.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;S and same radius, draw an arc which intersects arc in step 2 at T.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;T and S and radius more than half of TS, draw arcs intersecting each other at U.<\/li>\n<li class=\"\">Join PU which intersects arc in step 2 at V.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;V and S and radius more than half of VS, draw arcs intersecting each other at W.<\/li>\n<li class=\"\">Join PW.&nbsp;\u2220WPQ = 75\u00b0<\/li>\n<li class=\"\">Bisect&nbsp;\u2220WPQ.<\/li>\n<\/ol>\n<p>Then,&nbsp;\u2220ZPQ = 37.5\u00b0&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image004.png\" alt=\" \" width=\"388\" height=\"257\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-4iii\"><\/span>Solution 4(iii)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment AB and produce BA to point C.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;<span class=\"GramE\">A<\/span>&nbsp;and any radius, draw an arc which intersects AC at D and AB at E.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;D and E and radius more than half of DE, draw two arcs which intersect each other at F.<\/li>\n<li class=\"\">Join FA which intersects the arc in step 2 at G.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;G and D and radius more than half of GD, draw two arcs which intersect each other at H.<\/li>\n<li class=\"\">Join HA.<\/li>\n<\/ol>\n<p>Then,&nbsp;\u2220HAB = 135\u00b0&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image005.png\" alt=\" \" width=\"300\" height=\"195\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-4iv\"><\/span>Solution 4(iv)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment PQ.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and any radius, draw an arc which intersects PQ at R.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;R and same radius, draw an arc which intersects previous arc at S.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;S and same radius, draw an arc which intersects arc in step 2 at T.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;T and S and radius more than half of TS, draw arcs intersecting each other at U.<\/li>\n<li class=\"\">Join PU which intersects arc in step 2 at V.<\/li>\n<li class=\"\">Now taking T and V as&nbsp;<span class=\"SpellE\">centres<\/span>, draw arcs with radius more than half the length TV.&nbsp;<\/li>\n<li class=\"\">Let these arcs intersect each other at W.&nbsp;<\/li>\n<li class=\"\">Join PW, which is the required ray making 105\u00b0with the given ray PQ.&nbsp;<\/li>\n<\/ol>\n<p><span lang=\"EN-IN\">&nbsp;Then,&nbsp;<\/span>\u2220WPQ = 105\u00b0&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image006.png\" alt=\" \" width=\"333\" height=\"229\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-4v\"><\/span>Solution 4(v)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment AB.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;<span class=\"GramE\">A<\/span>&nbsp;and any radius, draw an arc which intersects AB at C.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;C and same radius, draw an arc which intersects previous arc at D.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;D and same radius, draw an arc which intersects arc in step 2 at E.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;E and D and radius more than half of ED, draw arcs intersecting each other at F.<\/li>\n<li class=\"\">Join AF which intersects arc in step 2 at G.<\/li>\n<li class=\"\">Now taking G and C as&nbsp;<span class=\"SpellE\">centres<\/span>, draw arcs with radius more than half the length GC.&nbsp;<\/li>\n<li class=\"\">Let these arcs intersect each other at H.&nbsp;<\/li>\n<li class=\"\">Join AH which intersect the arc n step 2 at I.&nbsp;<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;I and C and radius more than half of IC, draw arcs intersecting each other at J.&nbsp;<\/li>\n<li class=\"\">Join AJ.&nbsp;<\/li>\n<\/ol>\n<p><span lang=\"EN-IN\">&nbsp;Then,&nbsp;<\/span>\u2220JAB = 22.5\u00b0&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image007.png\" alt=\" \" width=\"375\" height=\"269\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-5\"><\/span>Solution 5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw line segment AC = 2.6 cm.<\/li>\n<li class=\"\">With A as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius 3.8 cm, draw an arc.<\/li>\n<li class=\"\">With C as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius 5 cm, draw arc to intersect the previous arc at B.<\/li>\n<li class=\"\">Join AB and BC.<\/li>\n<\/ol>\n<p>Thus,&nbsp;\u0394ABC is the required triangle.<\/p>\n<p>Largest side = BC = 5 cm<\/p>\n<p>\u21d2&nbsp;Largest angle =&nbsp;\u2220A<\/p>\n<p>&nbsp;<\/p>\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">With A as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and any radius, draw an arc, which intersect AB at P and AC at Q.<\/li>\n<li class=\"\">With P as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius more than half of PQ, draw an arc.<\/li>\n<li class=\"\">With Q as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and the same radius, draw an&nbsp;<span class=\"SpellE\">arac<\/span>&nbsp;to intersect the previous arc at R.<\/li>\n<li class=\"\">Join AR and extend it.<\/li>\n<\/ol>\n<p>Thus,&nbsp;\u2220A is bisected by ray AR.<\/p>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image008.png\" alt=\" \" width=\"186\" height=\"168\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-6\"><\/span>Solution 6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment BC = 4.8 cm.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;B and any radius, draw an arc which intersects BC at P.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and same radius, draw an arc which intersects previous arc at Q.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;Q and same radius, draw an arc which intersects arc in step 2 at R.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;R and Q and radius more than half of RQ, draw arcs intersecting each other at S.<\/li>\n<li class=\"\">Join BS which intersects arc in step 2 at G. Then,&nbsp;\u2220SBC = 90\u00b0<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;P and radius more than half of PG, draw an arc.<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;G and same radius, draw an arc which intersects previous arc at X.<\/li>\n<li class=\"\">Join B and extend it. Then&nbsp;\u2220B = 45\u00b0<\/li>\n<li class=\"\">Construct&nbsp;\u2220TCB = 90\u00b0 following the steps given above.&nbsp;&nbsp;<\/li>\n<li class=\"\">With&nbsp;<span class=\"SpellE\">centres<\/span>&nbsp;M and H and radius more than half of MH, draw arcs intersecting each other at Y.<\/li>\n<li class=\"\">Join CY and extend it. Then,&nbsp;\u2220C = 75\u00b0<\/li>\n<li class=\"\">Extended BX and CY intersect at A.<\/li>\n<\/ol>\n<p>Thus,&nbsp;\u0394ABC is the required triangle.<\/p>\n<p><span class=\"SpellE\">m\u2220A<\/span>&nbsp;= 60\u00b0&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image009.png\" alt=\" \" width=\"281\" height=\"227\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-7\"><\/span>Solution 7<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Step of construction:<\/p>\n<p>(i) Draw a line segment BC=5cm.<\/p>\n<p>(ii) With B as centre and radius equal to BC draw an arc.<img src=\"https:\/\/images.topperlearning.com\/topper\/bookquestions\/186133_image010.gif\" alt=\"\" width=\"256\" height=\"204\" align=\"left\" hspace=\"12\">&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<img src=\"data:image\/png;base64,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\" alt=\"\" width=\"496\" height=\"99\"><\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-8\"><\/span>Solution 8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line XY.<\/li>\n<li class=\"\">Mark any point P on it.<\/li>\n<li class=\"\">From P, draw PQ&nbsp;\u22a5&nbsp;XY.<\/li>\n<li class=\"\">From P, set off PA = 5.4 cm, cutting PQ at A.<\/li>\n<li class=\"\">Construct&nbsp;\u2220PAB = 30\u00b0 and&nbsp;\u2220PAC = 30\u00b0, meeting XY at B and C respectively.<\/li>\n<\/ol>\n<p>Then, ABC is the required equilateral triangle.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image010.png\" alt=\" \" width=\"249\" height=\"198\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-9\"><\/span>Solution 9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment BC = 5 cm.<\/li>\n<li class=\"\">Find the midpoint O of BC.<\/li>\n<li class=\"\">With O as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius OB, draw a semicircle on BC.<\/li>\n<li class=\"\">With B as&nbsp;<span class=\"SpellE\">centre<\/span>&nbsp;and radius equal to 4.5 cm, draw an arc, cutting the semicircle at A.<\/li>\n<li class=\"\">Join AB and AC.<\/li>\n<\/ol>\n<p>Then,&nbsp;\u0394ABC is the required triangle.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image011.png\" alt=\" \" width=\"215\" height=\"214\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-10\"><\/span>Solution 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw BC = 4.5 cm<\/li>\n<li class=\"\">Draw&nbsp;\u2220CBX = 45\u00b0&nbsp;<\/li>\n<li class=\"\">From ray BX, cut-off line segment BD equal to AB + AC, i.e. 8 cm.<\/li>\n<li class=\"\">Join CD.<\/li>\n<li class=\"\">Draw the perpendicular bisector of CD meeting BD at A.<\/li>\n<li class=\"\">Join CA to obtain the required triangle ABC.<\/li>\n<\/ol>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image012.png\" alt=\" \" width=\"249\" height=\"215\">&nbsp;<\/p>\n<p>Justification:<\/p>\n<p>Clearly, A lies on the perpendicular bisector of CD.<\/p>\n<p>\u2234&nbsp;AC = AD<\/p>\n<p>Now, BD = 8 cm<\/p>\n<p>\u21d2&nbsp;BA + AD = 8 cm<\/p>\n<p>\u21d2&nbsp;AB + AC = 8 cm<\/p>\n<p>Hence,&nbsp;\u0394ABC is the required triangle.<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-11\"><\/span>Solution 11<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw AB = 5.8 cm<\/li>\n<li class=\"\">Draw&nbsp;\u2220ABX = 60\u00b0&nbsp;<\/li>\n<li class=\"\">From ray BX, cut off line segment BD = BC + CA = 8.4 cm.<\/li>\n<li class=\"\">Join AD.<\/li>\n<li class=\"\">Draw the perpendicular bisector of AD meeting BD at C.<\/li>\n<li class=\"\">Join AC to obtain the required triangle ABC.<\/li>\n<\/ol>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image013.png\" alt=\" \" width=\"214\" height=\"226\">&nbsp;<\/p>\n<p>Justification:<\/p>\n<p>Clearly, C lies on the perpendicular bisector of AD.<\/p>\n<p>\u2234&nbsp;CA = CD<\/p>\n<p>Now, BD = 8.4 cm<\/p>\n<p>\u21d2&nbsp;BC + CD = 8.4 cm<\/p>\n<p>\u21d2&nbsp;BC + CA = 8.4 cm<\/p>\n<p>Hence,&nbsp;\u0394ABC is the required triangle.<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-12\"><\/span>Solution 12<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw base BC = 6 cm<\/li>\n<li class=\"\">Construct&nbsp;\u2220CBX = 30\u00b0&nbsp;<\/li>\n<li class=\"\">From ray BX, cut off line segment BD = 3.5 cm (= AB &#8211; AC)<\/li>\n<li class=\"\">Join CD.<\/li>\n<li class=\"\">Draw the perpendicular bisector of CD which cuts BX at A.<\/li>\n<li class=\"\">Join CA to obtain the required triangle ABC.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image014.png\" alt=\" \" width=\"241\" height=\"164\">&nbsp;<\/p>\n<p>Justification:<\/p>\n<p>Since A lies on the perpendicular bisector of CD.<\/p>\n<p>\u2234&nbsp;AD = AC<\/p>\n<p>Now, BD = 3.5 cm<\/p>\n<p>\u21d2&nbsp;AB &#8211; AD = 3.5 cm<\/p>\n<p>\u21d2&nbsp;AB &#8211; AC = 3.5 cm<\/p>\n<p>Hence,&nbsp;\u0394ABC is the required triangle.<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-13\"><\/span>Solution 13<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw base AB = 5 cm<\/li>\n<li class=\"\">Construct&nbsp;\u2220BAX = 30\u00b0&nbsp;<\/li>\n<li class=\"\">From ray AX, cut off line segment AD = 2.5 cm (= AC &#8211; BC)<\/li>\n<li class=\"\">Join BD.<\/li>\n<li class=\"\">Draw the perpendicular bisector of BD which cuts AX at C.<\/li>\n<li class=\"\">Join BC to obtain the required triangle ABC.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image015.png\" alt=\" \" width=\"240\" height=\"156\">&nbsp;<\/p>\n<p>Justification:<\/p>\n<p>Since C lies on the perpendicular bisector of BD.<\/p>\n<p>\u2234&nbsp;CD = BC<\/p>\n<p>Now, AD = 2.5 cm<\/p>\n<p>\u21d2&nbsp;AC &#8211; CD = 2.5 cm<\/p>\n<p>\u21d2&nbsp;AC &#8211; BC = 2.5 cm<\/p>\n<p>Hence,&nbsp;\u0394ABC is the required triangle.&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-14\"><\/span>Solution 14<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\"><img src=\"data:image\/png;base64,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\" 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\" alt=\"\" width=\"593\" height=\"384\"><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-15\"><\/span>Solution 15<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of Construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment PQ = 10.4 cm.<\/li>\n<li class=\"\">Construct a 45\u00b0 angle and bisect it to get&nbsp;\u2220NPQ.&nbsp;<\/li>\n<li class=\"\">Construct a 120\u00b0 angle and bisect it to get&nbsp;\u2220MQP.&nbsp;<\/li>\n<li class=\"\">Let the rays PN and QM intersect at A.<\/li>\n<li class=\"\">Construct the perpendicular bisectors of PA and QA, to intersect PQ at B and C respectively.<\/li>\n<li class=\"\">Join AB and AC.<\/li>\n<\/ol>\n<p>So,&nbsp;\u0394ABC is the required triangle.<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image016.png\" alt=\" \" width=\"405\" height=\"276\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-16\"><\/span>Solution 16<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of Construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw a line segment PQ = 11.6 cm.<\/li>\n<li class=\"\">Construct a 45\u00b0 angle and bisect it to get&nbsp;\u2220NPQ.&nbsp;<\/li>\n<li class=\"\">Construct a 60\u00b0 angle and bisect it to get&nbsp;\u2220MQP.&nbsp;<\/li>\n<li class=\"\">Let the rays PN and QM intersect at A.<\/li>\n<li class=\"\">Construct the perpendicular bisectors of PA and QA, to intersect PQ at B and C respectively.<\/li>\n<li class=\"\">Join AB and AC.<\/li>\n<\/ol>\n<p>So,&nbsp;\u0394ABC is the required triangle.<\/p>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image017.png\" alt=\" \" width=\"385\" height=\"287\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-17i\"><\/span>Solution 17(i)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Given,<\/p>\n<p>AB = 6 cm,&nbsp;\u2220A = 40\u00b0&nbsp;and (BC + AC) = 5.8 cm<\/p>\n<p>We know that the sum of any two sides of a triangle is greater than the third side.<\/p>\n<p>Here, we find that BC + AC &lt; AB<\/p>\n<p>Hence, construction of triangle ABC with given measurements is not possible.&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-17ii\"><\/span>Solution 17(ii)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Given,<\/p>\n<p>AB = 7 cm,&nbsp;\u2220A = 50\u00b0&nbsp;and (BC &#8211; AC) = 8 cm<\/p>\n<p>We know that the sum of any two sides of a triangle is greater than the third side.<\/p>\n<p>That is,<\/p>\n<p>AB + AC &gt; BC<\/p>\n<p>\u21d2&nbsp;AB + AC &#8211; AC &gt; BC &#8211; AC<\/p>\n<p>\u21d2&nbsp;AB &gt; BC &#8211; AC<\/p>\n<p>Here, we find that AB &lt; BC &#8211; AC<\/p>\n<p>Hence, construction of triangle ABC with given measurements is not possible.&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-17iii\"><\/span>Solution 17(iii)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Given,<\/p>\n<p>BC = 5 cm,&nbsp;\u2220B = 80\u00b0, \u2220C&nbsp;=&nbsp;50\u00b0&nbsp;and&nbsp;\u2220A = 60\u00b0&nbsp;<\/p>\n<p>We know that the sum of the measures of three angles of a triangle is 180\u00b0.<\/p>\n<p>Here, we find that<\/p>\n<p>\u2220A +&nbsp;\u2220B +&nbsp;\u2220C = 60\u00b0 + 80\u00b0 + 50\u00b0&nbsp;= 190\u00b0&nbsp;&gt; 180\u00b0&nbsp;<\/p>\n<p>Hence, construction of triangle ABC with given measurements is not possible.&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-17iv\"><\/span>Solution 17(iv)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Given,<\/p>\n<p>AB = 4 cm, BC = 3 cm and AC = 7 cm<\/p>\n<p>We know that the sum of any two sides of a triangle is greater than the third side.<\/p>\n<p>Here, we find that AB + BC = AC<\/p>\n<p>Hence, construction of triangle ABC with given measurements is not possible.<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-18\"><\/span>Solution 18<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps for Construction:<\/p>\n<p>1. Draw a line XY.<\/p>\n<p>2. Take a point A on XY.<\/p>\n<p>3. With A as the&nbsp;<span class=\"SpellE\">centre<\/span>, draw a semi-circle, cutting XY at P and Q.<\/p>\n<p>4. Construct&nbsp;\u2220YAC = 90\u00b0.<\/p>\n<p>5. Draw the bisector AB of&nbsp;\u2220XAC. Then&nbsp;\u2220YAB = 135\u00b0.<\/p>\n<p>6. Draw the bisector AM of&nbsp;\u2220YAB. Then&nbsp;\u2220YAM = 67.5\u00b0.&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image018.png\" alt=\" \" width=\"318\" height=\"235\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-19\"><\/span>Solution 19<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of Construction:<\/p>\n<p>1. Draw a line segment PQ = 4 cm.<\/p>\n<p>2. Construct&nbsp;\u2220QPX = 90\u00b0&nbsp;and&nbsp;\u2220PQY = 90\u00b0.<\/p>\n<p>3. Cut an arc PS = 4 cm and QR = 4 cm. Join SR.<\/p>\n<p>So, PQRS is the required square.<\/p>\n<p>&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image019.png\" alt=\" \" width=\"213\" height=\"193\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-20\"><\/span>Solution 20<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw BC = 3.5 cm<\/li>\n<li class=\"\">Draw&nbsp;\u2220CBX = 90\u00b0&nbsp;<\/li>\n<li class=\"\">From ray BX, cut off line segment BD = AB + AC = 5.5 cm.<\/li>\n<li class=\"\">Join CD.<\/li>\n<li class=\"\">Draw the perpendicular bisector of CD meeting BD at A.<\/li>\n<li class=\"\">Join AC to obtain the required triangle ABC.<\/li>\n<\/ol>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image020.png\" alt=\" \" width=\"202\" height=\"207\">&nbsp;<\/p>\n<\/div>\n<h3 class=\"soln-ttl\"><span class=\"ez-toc-section\" id=\"solution-21\"><\/span>Solution 21<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"soln-ttl\">\n<p>Steps of construction:<\/p>\n<ol start=\"1\" type=\"1\">\n<li class=\"\">Draw any line XY.<\/li>\n<li class=\"\">Take any point P on XY and draw PQ&nbsp;\u22a5&nbsp;XY.<\/li>\n<li class=\"\">Along PQ, set off PA = 4.5 cm.<\/li>\n<li class=\"\">Through A, draw LM&nbsp;\u2225&nbsp;XY.<\/li>\n<li class=\"\">Construct&nbsp;\u2220LAB = 45\u00b0 and&nbsp;\u2220MAC = 60\u00b0, meeting XY at B and C respectively.<\/li>\n<\/ol>\n<p>Then,&nbsp;\u0394ABC is the required triangle.&nbsp;<\/p>\n<p><img src=\"https:\/\/images.topperlearning.com\/topper\/question_uploads\/CBSE_RSAgarwal_IX_Math_Chp13_Ex13_files\/20180910131707_image021.png\" alt=\" \" width=\"291\" height=\"247\">&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"abt--tl-sec\">\n<div class=\"max-container\"><span style=\"font-size: inherit; background-color: initial;\">This is the complete blog on the <\/span><span style=\"font-size: inherit; background-color: initial;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 9 Maths exam, ask in the comments.&nbsp;<\/span><\/div>\n<div>&nbsp;<\/div>\n<\/section>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\"><\/span>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1634194496046\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link of RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634194512791\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf\"><\/span>How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634194535586\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions-pdf-offline\"><\/span>Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions PDF Offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634194557581\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-the-rs-aggarwal-solutions-class-9-maths-chapter-13-%e2%80%93-geometrical-constructions-pdf-a-credible-source-for-class-9-maths-exam-preparation\"><\/span>Is the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions PDF a credible source for Class 9 Maths exam preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the solutions of RS Aggarwal Solutions Class 9 Maths Chapter 13 &#8211; Geometrical Constructions are prepared by the subject matter experts, hence credible.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634800457910\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-exercises-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-13\"><\/span>How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 13?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There is only one exercise in this chapter.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634800488193\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-13-ex-131\"><\/span>How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 13 Ex 13.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 21 questions in this exercise.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions: Start your Class 9 Maths exam preparation with the RS Aggarwal Solutions Class 9 Maths. You can always rely on the RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions for your exam prep as well as class assignments. Subject matter experts have designed &#8230; <a title=\"RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions (Updated For 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-13-geometrical-constructions\/\" aria-label=\"More on RS Aggarwal Solutions Class 9 Maths Chapter 13 Geometrical Constructions (Updated For 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":139362,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73412,73410],"tags":[3086,77325,77361],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61247"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=61247"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61247\/revisions"}],"predecessor-version":[{"id":525219,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61247\/revisions\/525219"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/139362"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}