{"id":126746,"date":"2023-09-16T11:56:00","date_gmt":"2023-09-16T06:26:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=126746"},"modified":"2023-11-16T10:06:24","modified_gmt":"2023-11-16T04:36:24","slug":"rd-sharma-class-9-solutions-chapter-12-exercise-12-4","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126748\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-12-Exercise-12.4.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-12-Exercise-12.4.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-12-Exercise-12.4-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4:\u00a0<\/strong>Download the Free PDF of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-for-maths\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Maths<\/a> from the link given in this blog. You can prepare for your Maths exams with this ultimate guide. All the solutions of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-12-herons-formula\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 12<\/a> Exercise 12.4 are prepared by subject matter experts. To know more, read the whole blog.\u00a0<\/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-69eebde6c907c\" 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-69eebde6c907c\"><\/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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#download-rd-sharma-class-9-solutions-chapter-12-exercise-124-pdf\" title=\"Download RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 PDF\">Download RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#access-answers-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\" title=\"Access answers of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4\">Access answers of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4<\/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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#faqs-on-rd-sharma-class-9-solutions-chapter-12-exercise-124\" title=\"FAQs on RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4\">FAQs on RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4<\/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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#from-where-can-i-download-the-pdf-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\" title=\"From where can I download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?\">From where can I download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?<\/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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\" title=\"How much does it cost to download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?\">How much does it cost to download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?<\/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\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/#can-i-access-the-rd-sharma-for-class-9-solutions-chapter-12-exercise-124-pdf-offline\" title=\"Can I access the RD Sharma for Class 9 Solutions Chapter 12 Exercise 12.4\u00a0PDF offline?\">Can I access the RD Sharma for Class 9 Solutions Chapter 12 Exercise 12.4\u00a0PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-9-solutions-chapter-12-exercise-124-pdf\"><\/span><strong>Download RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-12-Ex-12.4-1.pdf\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4<\/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\/09\/RD-Sharma-Class-9-Solutions-Chapter-12-Ex-12.4-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\"><\/span><strong>Access answers of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Question 1.<br \/>In the figure, it is given that AB = CD and AD = BC. Prove that \u2206ADC \u2245 \u2206CBA.<br \/>RD Sharma Class 9 Solutions Chapter 12 Heron\u2019s Formula Ex 12.4 \u2013 1<br \/>Solution:<br \/>Given : In the figure, AB = CD, AD = BC<br \/>RD Sharma Class 9 Solutions Chapter 12 Heron\u2019s Formula Ex 12.4 \u2013 2<br \/>To prove: \u2206ADC = \u2206CBA<br \/>Proof: In \u2206ADC and \u2206CBA<br \/>CD = AB (Given)<br \/>AD = BC (Given)<br \/>CA = CA (Common)<br \/>\u2234 \u2206ADC \u2245 \u2206CBA (SSS axiom)<\/p>\n<p>Question 2.<br \/>In an APQR, if PQ = QR and L, M, and N are the mid-points of the sides PQ, QR, and RP respectively. Prove that LN = MN.<br \/>Solution:<br \/>Given: In \u2206PQR, PQ = QR<br \/>L, M, and N are the mid-points of sides PQ, QR, and RP respectively. Join LM, MN, and LN<br \/>RD Sharma Class 9 Solutions Chapter 12 Heron\u2019s Formula Ex 12.4 \u2013 2A<br \/>To prove: \u2220PNM = \u2220PLM<br \/>Proof: In \u2206PQR,<br \/>\u2235 M and N are the midpoints of sides PR and QR respectively<br \/>\u2234 MN || PQ and MN =\u00a0<span id=\"MathJax-Element-13-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-91\" class=\"math\"><span id=\"MathJax-Span-92\" class=\"mrow\"><span id=\"MathJax-Span-93\" class=\"mfrac\"><span id=\"MathJax-Span-94\" class=\"mn\">1<\/span><span id=\"MathJax-Span-95\" class=\"mn\">2<\/span><\/span><\/span><\/span><\/span>\u00a0PQ \u2026(i)<br \/>\u2234 MN = PL<br \/>Similarly, we can prove that<br \/>LM = PN<br \/>Now in \u2206NML and \u2206LPN<br \/>MN = PL (Proved)<br \/>LM = PN (Proved)<br \/>LN = LN (Common)<br \/>\u2234 \u2206NML = \u2206LPN (SSS axiom)<br \/>\u2234 \u2220MNL = \u2220PLN (c.p.c.t.)<br \/>and \u2220MLN = \u2220LNP (c.p.c.t.)<br \/>\u21d2 \u2220MNL = \u2220LNP = \u2220PLM = \u2220MLN<br \/>\u21d2 \u2220PNM = \u2220PLM<\/p>\n<p>This is the complete blog on\u00a0 RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4. 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.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-9-solutions-chapter-12-exercise-124\"><\/span><strong>FAQs on RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4<\/strong><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-1631298788695\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-download-the-pdf-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\"><\/span>From where can I download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631298839963\" 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-pdf-of-rd-sharma-class-9-solutions-chapter-12-exercise-124\"><\/span>How much does it cost to download the PDF of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4?<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-1631298866813\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-for-class-9-solutions-chapter-12-exercise-124-pdf-offline\"><\/span>Can I access the RD Sharma for Class 9 Solutions Chapter 12 Exercise 12.4\u00a0PDF 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 as well.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4:\u00a0Download the Free PDF of RD Sharma Class 9 Solutions Maths from the link given in this blog. You can prepare for your Maths exams with this ultimate guide. All the solutions of RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 are prepared by subject matter &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-12-exercise-12-4\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 12 Exercise 12.4 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":126748,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411],"tags":[3086,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126746"}],"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=126746"}],"version-history":[{"count":6,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126746\/revisions"}],"predecessor-version":[{"id":574087,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126746\/revisions\/574087"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126748"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=126746"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=126746"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=126746"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}