{"id":61842,"date":"2023-04-05T05:22:00","date_gmt":"2023-04-04T23:52:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61842"},"modified":"2023-12-14T10:05:26","modified_gmt":"2023-12-14T04:35:26","slug":"rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\/","title":{"rendered":"RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle (Updated For 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-138937\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-9-Congruence-of-Triangles-and-Inequalities-in-a-Triangle.jpg\" alt=\"RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-9-Congruence-of-Triangles-and-Inequalities-in-a-Triangle.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Chapter-9-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle:\u00a0<\/strong>Be it your Class 9 Maths assignments or exam preparation, <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-9-maths-solutions\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 9 Maths<\/a> has got your back.The solutions of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&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 9 Congruence of Triangles and Inequalities in a Triangle are reliable and accurate, thanks to the subject matter experts.<\/span><\/p>\n<p>You can download the Free PDF of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&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 9 Congruence of Triangles and Inequalities in a Triangle by using the link given in the blog. To know more, read the whole blog.<\/span><\/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-69d16de206f08\" 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-69d16de206f08\"><\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#download-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\" title=\"Download RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF\">Download RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle 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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#access-the-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\" title=\"Access The RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle\">Access The RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle<\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#i\" title=\"RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle &#8211; Overview\">RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle &#8211; Overview<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\" title=\"FAQs on RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle\">FAQs on RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle<\/a><ul class='ez-toc-list-level-3'><li class='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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\" title=\"From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?\">From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?<\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\" title=\"How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?\">How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?<\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#can-i-access-the-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf-offline\" title=\"Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF Offline?\">Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF Offline?<\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#how-many-questions-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-9-ex-91\" title=\"How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Ex 9.1?\">How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Ex 9.1?<\/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-9-congruence-of-triangles-and-inequalities-in-a-triangle\/#how-many-exercises-are-there-in-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\" title=\"How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle?\">How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&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 9 Congruence of Triangles and Inequalities in a Triangle PDF<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Maths-Chapter-9.pdf\">RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and I<\/a><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Maths-Chapter-9.pdf\">nequalities in a Triangle<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/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\/10\/RS-Aggarwal-Class-9-Maths-Chapter-9.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-the-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\"><\/span>Access The RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1.<\/strong><br \/><strong>Solution:<\/strong><br \/>In \u2206 ABC, \u2220A = 70\u00b0 and AB = AC (given)<br \/>\u2234 \u2220C = \u2220B<br \/>(Angles opposite to equal sides)<br \/>But \u2220A + \u2220B + \u2220C = 180\u00b0<br \/>(Sum of angles of a triangle)<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549419 jetpack-lazy-image entered lazyloaded jetpack-lazy-image--handled\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1.png?resize=202%2C175&amp;is-pending-load=1#038;ssl=1\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 1\" width=\"202\" height=\"175\" data-attachment-id=\"549419\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1.png?fit=202%2C175&amp;ssl=1\" data-orig-size=\"202,175\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1.png?fit=202%2C175&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-1.png?fit=202%2C175&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/>=&gt; 70\u00b0 + \u2220B + \u2220B = 180\u00b0<br \/>(\u2234 \u2220B = \u2220C)<br \/>=&gt; 2\u2220B = 180\u00b0- 70\u00b0 = 110\u00b0<br \/>\u2220B =\u00a0110o2\u00a0= 55\u00b0 and<br \/>Hence \u2220B = 55\u00b0,\u2220C = 55\u00b0 Ans.<\/p>\n<p><strong>Question 2.<\/strong><br \/><strong>Solution:<\/strong><br \/>In \u2206 ABC, \u2220A= 100\u00b0<br \/>It is an isosceles triangle<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549420 jetpack-lazy-image entered lazyloaded jetpack-lazy-image--handled\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2.png?resize=196%2C182&amp;is-pending-load=1#038;ssl=1\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 2\" width=\"196\" height=\"182\" data-attachment-id=\"549420\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2.png?fit=196%2C182&amp;ssl=1\" data-orig-size=\"196,182\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2.png?fit=196%2C182&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-2.png?fit=196%2C182&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/>\u2234AB = AC<br \/>\u2220B = \u2220C<br \/>(Angles opposite to equal sides)<br \/>But \u2220A + \u2220B + \u2220C = 180\u00b0<br \/>(Sum of angles of a triangle)<br \/>=&gt; 100\u00b0 + \u2220B + \u2220B = 180\u00b0<br \/>(\u2234 \u2220B = \u2220C)<br \/>=&gt; 2\u2220B + 100\u00b0 = 180\u00b0<br \/>=&gt; 2\u2220B = 180\u00b0- 100\u00b0 = 80\u00b0<br \/>\u2220B =\u00a080o2\u00a0= 40\u00b0<br \/>and \u2220C = 40\u00b0<br \/>\u2234 Base angles are 40\u00b0, 40\u00b0 Ans.<\/p>\n<p><strong>Question 3.<\/strong><br \/><strong>Solution:<\/strong><br \/>In \u2206 ABC,<br \/>AB = AC<br \/>\u2234\u2220C = \u2220B<br \/>(Angles opposite to equal sides)<\/p>\n<p><br \/>But \u2220B = 65\u00b0<br \/>\u2234 \u2220 C = 65\u00b0<br \/>But \u2220A + \u2220B + \u2220C = 180\u00b0<br \/>(Sum of angles of a triangle)<br \/>=&gt; \u2220A + 65\u00b0 + 65\u00b0 = 180\u00b0<br \/>=&gt; \u2220 A + 130\u00b0 = 180\u00b0<br \/>=&gt; \u2220 A = 180\u00b0 \u2013 130\u00b0<br \/>=&gt; \u2220 A = 50\u00b0<br \/>Hence \u2220 A = 50\u00b0 and \u2220 C = 65\u00b0 Ans.<\/p>\n<p><strong>Question 4.<\/strong><br \/><strong>Solution:<\/strong><br \/>In \u2206 ABC<br \/>AB = AC<br \/>\u2234 \u2220C = \u2220B<br \/>(Angles opposite to equal sides)<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549421 jetpack-lazy-image entered lazyloaded jetpack-lazy-image--handled\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4.png?resize=196%2C175&amp;is-pending-load=1#038;ssl=1\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 4\" width=\"196\" height=\"175\" data-attachment-id=\"549421\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4.png?fit=196%2C175&amp;ssl=1\" data-orig-size=\"196,175\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4.png?fit=196%2C175&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-4.png?fit=196%2C175&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/>But \u2220A = 2(\u2220B + \u2220C)<br \/>=&gt; \u2220B + \u2220C =\u00a012\u00a0\u2220A 2<br \/>But \u2220A + \u2220B + \u2220C = 180\u00b0<br \/>(sum of angles of a triangle)<br \/>=&gt; \u2220A+\u00a012\u00a0\u2220A = 180\u00b0<br \/>=&gt;\u00a032\u00a0\u2220A = 180\u00b0<br \/>=&gt; \u2220A = 180\u00b0 x\u00a023\u00a0= 120\u00b0<br \/>and \u2220B + \u2220C =\u00a012\u00a0\u2220A =\u00a012\u00a0x 120\u00b0<br \/>= 60\u00b0<br \/>\u2234 \u2220 B = \u2220 C<br \/>\u2234 \u2220 B = \u2220 C =\u00a060o2\u00a0= 30\u00b0<br \/>Hence \u2220 A = 120\u00b0, \u2220B = 30\u00b0, \u2220C = 30\u00b0 Ans.<\/p>\n<p><strong>Question 5.<\/strong><br \/><strong>Solution:<\/strong><br \/>In \u2206 ABC,<br \/>AB = BC and \u2220B = 90\u00b0<br \/>\u2234 AB = BC<br \/>\u2234 \u2220 C = \u2220 A<br \/>(Angles opposite to equal sides)<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549422 jetpack-lazy-image entered lazyloaded jetpack-lazy-image--handled\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1.png?resize=197%2C200&amp;is-pending-load=1#038;ssl=1\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 5\" width=\"197\" height=\"200\" data-attachment-id=\"549422\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-5-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1.png?fit=197%2C200&amp;ssl=1\" data-orig-size=\"197,200\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1.png?fit=197%2C200&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-5-1.png?fit=197%2C200&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/>Now \u2220A + \u2220B + \u2220C = 180\u00b0<br \/>(Sum of angles of a triangle)<br \/>=&gt; \u2220 A + 90\u00b0 + \u2220 A = 180\u00b0<br \/>(\u2234 \u2220C = \u2220A)<br \/>=&gt; 2\u2220A + 90\u00b0 \u2013 180\u00b0<br \/>=&gt; 2\u2220 A = 180\u00b0 \u2013 90\u00b0 = 90\u00b0<br \/>\u2220 A =\u00a090o2\u00a0= 45\u00b0<br \/>\u2234 \u2220 C = 45\u00b0 (\u2234 \u2220 C = \u2220 A)<br \/>Hence, each of the equal angles is 45\u00b0 Ans.<\/p>\n<p><strong>Question 6.<\/strong><br \/><strong>Solution:<\/strong><br \/><strong>Given :<\/strong>\u00a0\u2206 ABC is an isosceles triangle in which AB = AC<\/p>\n<p>Base BC is produced to both sides upto D and E respectively forming exterior angles<br \/>\u2220 ABD and \u2220 ACE<br \/><strong>To Prove :<\/strong>\u00a0\u2220ABD = \u2220ACE<br \/><strong>Proof :<\/strong>\u00a0In \u2206 ABC<br \/>\u2234 AB = AC (given)<br \/>\u2234 \u2220C = \u2220B<br \/>(Angles opposite to equal sides)<br \/>=&gt; \u2220 ABC = \u2220ACB<br \/>But \u2220 ABC + \u2220ABD = 180\u00b0 (Linear pair)<br \/>Similarly \u2220ACB + \u2220ACE = 180\u00b0<br \/>\u2220 ABC + \u2220ABD = \u2220ACB + \u2220ACE<br \/>But \u2220 ABC = \u2220 ACB (proved)<br \/>\u2220ABD = \u2220ACE<br \/>Hence proved.<\/p>\n<p><strong>Question 7.<\/strong><br \/><strong>Solution:<\/strong><br \/>\u2206 ABC is an equilateral triangle<br \/>\u2234 AB = BC = CA<br \/>and \u2220A = \u2220B = \u2220C = 60\u00b0<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549423 jetpack-lazy-image entered jetpack-lazy-image--handled lazyloaded\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?resize=304%2C206&amp;is-pending-load=1#038;ssl=1\" sizes=\"(max-width: 304px) 100vw, 304px\" srcset=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?w=304&amp;ssl=1 304w, https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?resize=300%2C203&amp;ssl=1 300w\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 7\" width=\"304\" height=\"206\" data-attachment-id=\"549423\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?fit=304%2C206&amp;ssl=1\" data-orig-size=\"304,206\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?fit=300%2C203&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-7.png?fit=304%2C206&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/>The sides of the \u2206 ABC are produced in order to D,E and F forming exterior angles<br \/>\u2220ACP, \u2220BAE and \u2220CBF<br \/>\u2206ACD + \u2220ACB = 180\u00b0<br \/>=&gt; \u2220ACD + 60\u00b0 = 180\u00b0<br \/>=&gt; \u2220ACD = 180\u00b0 \u2013 60\u00b0<br \/>=&gt; \u2220ACD = 120\u00b0<br \/>Similarly, \u2220BAE + \u2220BAC = 180\u00b0<br \/>=&gt; \u2220BAE + 60\u00b0 = 180\u00b0<br \/>=&gt; \u2220BAE = 180\u00b0 \u2013 60\u00b0 = 120\u00b0<br \/>and \u2220BAF + \u2220ABC = 180\u00b0<br \/>=&gt; \u2220BAF + 60\u00b0 = 180\u00b0<br \/>=&gt; \u2220BAF = 180\u00b0 \u2013 60\u00b0 = 120\u00b0<br \/>Hence each exterior angle of an equilateral triangle is 120\u00b0.<\/p>\n<p><strong>Question 8.<\/strong><br \/><strong>Solution:<\/strong><br \/><strong>Given :<\/strong>\u00a0In the figure,<br \/>O is mid-point of AB and CD.<br \/>i.e. OA = OB and OC = OD<br \/><strong>To Prove :<\/strong>\u00a0AC = BD and AC || BD.<br \/><strong>Proof :<\/strong>\u00a0In \u2206 OAC and \u2206 OBD,<br \/>OA = OB {given}<br \/>OC = OD {given}<br \/>\u2220AOC = \u2220BOD<br \/>(Vertically opposite angles)<br \/>\u2234\u2206 OAC \u2245 \u2206 OBD (S.A.S. axiom)<br \/>\u2234AC = BD (c.p.c.t.)<br \/>and \u2220 C = \u2220 D<br \/>But these are alt. angles<br \/>\u2234AC || BD<br \/>Hence proved.<\/p>\n<aside class=\"scaip scaip-6    \">\n<aside id=\"block-7\" class=\"widget_block clearfix\"><ins class=\"adsbygoogle\" data-ad-client=\"ca-pub-8012231244430966\" data-ad-slot=\"4142978075\" data-ad-format=\"auto\" data-full-width-responsive=\"true\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\">\n<div id=\"aswift_6_host\" tabindex=\"0\" title=\"Advertisement\" aria-label=\"Advertisement\"><iframe id=\"aswift_6\" 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name=\"aswift_6\" width=\"780\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!7\" data-google-query-id=\"CNnVwqmMjoMDFUz7cwEdODoCxA\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<\/ins><\/aside>\n<\/aside>\n<p><strong>Question 9.<\/strong><br \/><strong>Solution:<\/strong><br \/><strong>Given :<\/strong>\u00a0In the figure,<br \/>PA \u22a5 AB, QB \u22a5 AB and<br \/>PA = QB, PQ intersects AB at O.<\/p>\n<figure class=\"wp-block-image size-full\"><img class=\"wp-image-549424 jetpack-lazy-image entered jetpack-lazy-image--handled lazyloaded\" style=\"box-sizing: border-box; height: auto; max-width: 100%; border-style: none; position: relative; opacity: 1; transition: opacity 400ms ease 0ms; vertical-align: bottom; display: block;\" src=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?resize=338%2C195&amp;is-pending-load=1#038;ssl=1\" sizes=\"(max-width: 338px) 100vw, 338px\" srcset=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?w=338&amp;ssl=1 338w, https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?resize=300%2C173&amp;ssl=1 300w\" alt=\"RS Aggarwal Solutions for Class 9 Maths Chapter 5\u2013Congruence of Triangles and Inequalities in a Triangle Question 9\" width=\"338\" height=\"195\" data-attachment-id=\"549424\" data-permalink=\"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-9-maths-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle\/rs-aggarwal-class-9-solutions-chapter-5-congruence-of-triangles-and-inequalities-in-a-triangle-ex-5a-9\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?fit=338%2C195&amp;ssl=1\" data-orig-size=\"338,195\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9\" data-image-description=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?fit=300%2C173&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RS-Aggarwal-Class-9-Solutions-Chapter-5-Congruence-of-Triangles-and-Inequalities-in-a-Triangle-Ex-5A-9.png?fit=338%2C195&amp;ssl=1\" data-recalc-dims=\"1\" data-ll-status=\"loaded\" data-lazy-loaded=\"1\" \/><\/figure>\n<p><br \/><strong>To Prove :<\/strong>\u00a0O is mid-point of AB and PQ.<br \/><strong>Proof :<\/strong>\u00a0In \u2206 AOP and \u2206 BOQ,<br \/>\u2220 A = \u2220 B<br \/>AP = BQ (given)<br \/>\u2220 AOP = \u2220BOQ<br \/>(Vertically opposite angles)<br \/>\u2234 \u2206AOP \u2245 \u2206 BOQ (A.A.S. axiom)<br \/>\u2234OA = OB (c.p.c.t)<br \/>and OP = OQ (c.p.c.t)<br \/>Hence, O is the mid-point of AB as well as PQ<\/p>\n<p><strong>Question 10.<\/strong><br \/><strong>Solution:<\/strong><br \/><strong>Given :<\/strong>\u00a0Two line segments AB and CD intersect each other at O and OA = OB, OC = OD<br \/>AC and BD are joined.<br \/><strong>To Prove :<\/strong>\u00a0AC = BD<br \/><strong>Proof :<\/strong>\u00a0In \u2206 AOC and \u2206 BOD,<br \/>OA = OB {given}<br \/>OC = OD<br \/>\u2220AOC = \u2220BOD<br \/>(vertically opposite angles)<br \/>\u2234 \u2206 AOC \u2245 \u2206 BOD (S.A.S. axiom)<br \/>\u2234 AC = BD (c.p.c.t)<br \/>and \u2220A = \u2220D (c.p.c.t.)<br \/>Hence AC \u2260 BD<br \/>Hence proved.<\/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 9 Congruence of Triangles and Inequalities in a Triangle&quot;}\" data-sheets-userformat=\"&quot;{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:\">RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle &#8211; Overview<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the Chapter 9 of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&quot;}\" data-sheets-userformat=\"&quot;{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:\">RS Aggarwal Solutions Class 9 Maths, you will deal with the study of congruence of triangles. You will also know about various types of triangles as well as the properties of triangles and the different criteria for proving that two triangles are congruent to each other.<\/span><\/p>\n<ul>\n<li>The Chapter begins with a proper explanation of triangles and its types such as Equilateral triangles, Right-angled Triangle, Scalene Triangles and Isosceles Triangles.\u00a0<\/li>\n<li>Then you will learn the properties of triangles and the criteria on which two triangles can be proved congruent.<\/li>\n<li>\u00a0You will learn the various criteria such as Angle Side Angle property, Side Side Side property, Side Angle Side Property and Right-angle Hypotenuse Side property.\u00a0<\/li>\n<li>There are 2 exercises in RS Aggarwal Solutions Class 9 Chapter 9.\u00a0<\/li>\n<li>The first exercise has 27 questions and the second exercise has 16 questions.\u00a0<\/li>\n<\/ul>\n<p><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&quot;}\" data-sheets-userformat=\"&quot;{&quot;2&quot;:4284,&quot;5&quot;:{&quot;1&quot;:\">This is the complete blog on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&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 9 Congruence of Triangles and Inequalities in a Triangle. 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.<\/span><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\"><\/span>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle&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 9 Congruence of Triangles and Inequalities in a Triangle<\/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-1634127032397\" 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-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634127044569\" 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-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf\"><\/span>How much does it cost to download the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634127062789\" 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-9-congruence-of-triangles-and-inequalities-in-a-triangle-pdf-offline\"><\/span>Can I access the\u00a0RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle PDF Offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634833514723\" 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-9-ex-91\"><\/span>How many questions are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Ex 9.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 27 questions in this chapter.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1634833552696\" 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-9-congruence-of-triangles-and-inequalities-in-a-triangle\"><\/span>How many exercises are there in RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 2 exercises in this chapter. <\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle:\u00a0Be it your Class 9 Maths assignments or exam preparation, RS Aggarwal Solutions Class 9 Maths has got your back.The solutions of RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle are reliable &#8230; <a title=\"RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle (Updated For 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-9-congruence-of-triangles-and-inequalities-in-a-triangle\/\" aria-label=\"More on RS Aggarwal Solutions Class 9 Maths Chapter 9 Congruence of Triangles and Inequalities in a Triangle (Updated For 2024)\">Read 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