{"id":67293,"date":"2023-03-27T06:50:00","date_gmt":"2023-03-27T01:20:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=67293"},"modified":"2023-12-21T11:29:04","modified_gmt":"2023-12-21T05:59:04","slug":"rs-aggarwal-chapter-14-class-9-maths-exercise-14-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-14-class-9-maths-exercise-14-1-solutions\/","title":{"rendered":"RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 (ex 14a) Solutions"},"content":{"rendered":"\n<p><strong>RS Aggarwal Chapter 14 Class 9 Maths Exercise 14.1 Solutions<\/strong>: You may recall that the part of the plane enclosed by a simple closed figure is called a planar region corresponding to that figure. The magnitude or measure of this planar region is called its area. This magnitude or measure is always expressed with the help of a number (in some unit) such as 5 cm2, 8 m2, 3 hectares, etc. So, we can say that area of a figure is a number (in some unit) associated with the part of the plane enclosed by the figure<\/p>\n<p>Know more about the chapter <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-9-maths-chapter-14-areas-of-triangles-and-quadrilaterals\/\">here<\/a>.<\/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-69d8fd7a157d9\" 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-69d8fd7a157d9\"><\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#download-rs-aggarwal-chapter-14-class-9-maths-exercise-141-solutions\" title=\"Download RS Aggarwal Chapter 14 Class 9 Maths Exercise 14.1 Solutions\">Download RS Aggarwal Chapter 14 Class 9 Maths Exercise 14.1 Solutions<\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#important-definition-for-rs-aggarwal-chapter-14-class-9-maths-ex-14a-solutions\" title=\"Important Definition for RS Aggarwal Chapter 14&nbsp;Class 9&nbsp;Maths Ex 14a&nbsp;Solutions\">Important Definition for RS Aggarwal Chapter 14&nbsp;Class 9&nbsp;Maths Ex 14a&nbsp;Solutions<\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#faqs-on-rs-aggarwal-chapter-14-class-9-maths-exercises-141-solution\" title=\"FAQs on RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 Solution.\">FAQs on RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 Solution.<\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#how-can-you-find-the-area-of-a-rhombus-whose-one-diagonal-and-side-measure-is-known\" title=\"How Can You Find the Area of a Rhombus Whose One Diagonal and Side Measure is Known?\">How Can You Find the Area of a Rhombus Whose One Diagonal and Side Measure is Known?<\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#in-the-case-of-a-right-angled-triangle-which-side-is-the-height\" title=\"In the case of a Right-angled Triangle, Which Side is the Height?\">In the case of a Right-angled Triangle, Which Side is the Height?<\/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-chapter-14-class-9-maths-exercise-14-1-solutions\/#how-many-types-of-quadrilaterals-are-there\" title=\"How Many Types of Quadrilaterals are there?\">How Many Types of Quadrilaterals are there?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-chapter-14-class-9-maths-exercise-141-solutions\"><\/span>Download RS Aggarwal Chapter 14 Class 9 Maths Exercise 14.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\/2020\/11\/RS-Aggarwal-Class-9-Maths-Chapter-14.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rs-aggarwal-chapter-14-class-9-maths-ex-14a-solutions\"><\/span>Important Definition for RS Aggarwal Chapter 14&nbsp;Class 9&nbsp;Maths Ex 14a&nbsp;Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li><b><\/b>AB and CD are parallel sides of trapezium ABCD. Diagonals AC and BD intersect at O. prove that ar(<em><i>\u0394<\/i><\/em>AOD) = ar(\u0394BOC).<\/li>\n<li><b><\/b>If D is the mid .point of side BC of a \u0394ABC, P, and Q are two points lying respectively on the sides AB and BC such that DP is parallel to QA. Prove that ar(\u0394CQP) = 1\/2 ar(\u0394ABC).<\/li>\n<li><b><\/b>A rectangle is formed by joining the mid-points of the sides of a rhombus. Show that the area of a rectangle is half the area of the rhombus.<\/li>\n<li><b><\/b>In a parallelogram ABCD, AE is perpendicular to DC and CF is perpendicular to AD. If AB = 10 cm, AE = 6 cm, and CF = 8 cm, then find AD.<\/li>\n<li><b><\/b>The adjacent sides of a rectangle are 16 cm and 8 cm. Find the area of the rectangle.<\/li>\n<li><b><\/b>PQRS is a square. T and U are the mid-points of sides PS and QR respectively. Find the area of \u0394OTS, if PQ= 8 cm, where O is the point of intersection of TU and OS.<\/li>\n<li><b><\/b>If two sides of one triangle are equal to two sides of another triangle and the contained angles are supplementary, show that the two sides are equal in area.<\/li>\n<li><b><\/b>In a trapezium ABCD where AB is parallel to CD, E is the mid-point of BC, prove that \u0394AED = 1\/2 trapezium ABCD.<\/li>\n<li><b><\/b>The area of triangle ABC is 15 cm sq. If \u0394ABC and a parallelogram ABPD are on the same base and between the same parallel lines then what is the area of parallelogram ABPD?<\/li>\n<li><b><\/b>The area of parallelogram PQRS is 88 cm sq. A perpendicular from S is drawn to intersect PQ at M. If SM = 8 cm, then find the length of PQ.<\/li>\n<\/ol>\n<p>Know more at the <a style=\"font-size: inherit; background-color: initial;\" href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">official website<\/a><span style=\"font-size: inherit; background-color: initial;\">.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-chapter-14-class-9-maths-exercises-141-solution\"><\/span>FAQs on RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 Solution.<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-1679897749793\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-can-you-find-the-area-of-a-rhombus-whose-one-diagonal-and-side-measure-is-known\"><\/span>How Can You Find the Area of a Rhombus Whose One Diagonal and Side Measure is Known?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In such a case the rhombus can be divided into two isosceles triangles whose measure of equal sides and base is known. The diagonal acts as the base for both triangles. Now on finding the area of each isosceles triangle using the formula: b\/4 \u221a(4a\u00b2 &#8211; b\u00b2) and adding them, one can easily find the area of the rhombus.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1679897858215\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"in-the-case-of-a-right-angled-triangle-which-side-is-the-height\"><\/span>In the case of a Right-angled Triangle, Which Side is the Height?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>For a right-angled triangle, the perpendicular, which forms a 90-degree angle with the base, must be considered as the height of the triangle.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1679897882119\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-types-of-quadrilaterals-are-there\"><\/span><strong>How Many Types of Quadrilaterals are there?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are six different types of quadrilaterals i.e. parallelogram, rectangle, square, rhombus, trapezium, and kite.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Chapter 14 Class 9 Maths Exercise 14.1 Solutions: You may recall that the part of the plane enclosed by a simple closed figure is called a planar region corresponding to that figure. The magnitude or measure of this planar region is called its area. This magnitude or measure is always expressed with the &#8230; <a title=\"RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 (ex 14a) Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-14-class-9-maths-exercise-14-1-solutions\/\" aria-label=\"More on RS Aggarwal Chapter 14 Class 9 Maths Exercises 14.1 (ex 14a) Solutions\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":67396,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[1,73395,73412,2985,73410],"tags":[3081,3086,4711],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/67293"}],"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\/236"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=67293"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/67293\/revisions"}],"predecessor-version":[{"id":525213,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/67293\/revisions\/525213"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/67396"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=67293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=67293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=67293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}