{"id":165833,"date":"2024-03-30T15:23:58","date_gmt":"2024-03-30T09:53:58","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165833"},"modified":"2024-03-30T15:25:02","modified_gmt":"2024-03-30T09:55:02","slug":"pqr-is-an-isosceles-triangle-in-which-pq-qr-qd-is-an-angle-bisector-of-%e2%88%a0pqr-mn-and-zx-are-two-perpendicular-on-pr-where-mn-zx","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/pqr-is-an-isosceles-triangle-in-which-pq-qr-qd-is-an-angle-bisector-of-%e2%88%a0pqr-mn-and-zx-are-two-perpendicular-on-pr-where-mn-zx\/","title":{"rendered":"PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of \u2220PQR. MN and ZX are two perpendicular on PR where MN = ZX"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of <span style=\"font-family:&quot;Cambria Math&quot;,serif;mso-bidi-font-family:\n&quot;Cambria Math&quot;\">\u2220<\/span>PQR. MN and ZX are two perpendicular on PR where MN = ZX. If QD = 27 cm, DX = 11 cm, XR = 9 cm, then find the area of shape QMNXZ?<\/p> <p class=\"MsoNormal\">(a) 461.32 cm\u00b2<\/p> <p class=\"MsoNormal\"><b>(b) 430.65 cm\u00b2<\/b><\/p> <p class=\"MsoNormal\">(c) 502.65 cm\u00b2<\/p> <p class=\"MsoNormal\">(d) 411.35 cm\u00b2<\/p> Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"863\" height=\"1024\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-863x1024.png\" alt=\"\" class=\"wp-image-165834\" style=\"width:178px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-863x1024.png 863w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-253x300.png 253w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-767x910.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-1295x1536.png 1295w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-1727x2048.png 1727w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-126x150.png 126w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-100x119.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-295x350.png 295w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348-788x934.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-348.png 188w\" sizes=\"(max-width: 863px) 100vw, 863px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"276\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-1024x276.png\" alt=\"\" class=\"wp-image-165838\" style=\"width:222px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-1024x276.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-300x81.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-767x207.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-1536x414.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-2048x553.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-556x150.png 556w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-100x27.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-1297x350.png 1297w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349-788x212.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-349.png 278w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of \u2220PQR. MN and ZX are two perpendicular on PR where MN = ZX. If QD = 27 cm, DX = 11 cm, XR = 9 cm, then find the area of shape QMNXZ? (a) 461.32 cm\u00b2 (b) 430.65 cm\u00b2 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":165835,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-165833","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=165833"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165833\/revisions"}],"predecessor-version":[{"id":165839,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165833\/revisions\/165839"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165835"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}