{"id":164863,"date":"2024-03-19T14:51:14","date_gmt":"2024-03-19T09:21:14","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164863"},"modified":"2024-03-19T14:51:16","modified_gmt":"2024-03-19T09:21:16","slug":"in-%e2%88%86-pqr-%e2%88%a0q-90-pq-8-cm-and-qr-15-cm-the-bisector-of-%e2%88%a0p-of-meets-qr-at-d-what-is-the-length-of-pd","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/in-%e2%88%86-pqr-%e2%88%a0q-90-pq-8-cm-and-qr-15-cm-the-bisector-of-%e2%88%a0p-of-meets-qr-at-d-what-is-the-length-of-pd\/","title":{"rendered":"In \u2206 PQR, \u2220Q= 90\u00b0, PQ = 8 cm and QR = 15 cm. The bisector of \u2220P of meets QR at D. What is the length of PD"},"content":{"rendered":"\n<p><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;\nline-height:107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">In \u2206 PQR, <\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:\n107%;font-family:&quot;Cambria Math&quot;,serif;mso-fareast-font-family:Calibri;\nmso-fareast-theme-font:minor-latin;mso-bidi-font-family:&quot;Cambria Math&quot;;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">\u2220<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:107%;font-family:\n&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:\nCalibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;\nmso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;mso-ansi-language:\nEN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">Q= 90<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:107%;font-family:\n&quot;Calibri&quot;,sans-serif;mso-fareast-font-family:Calibri;mso-fareast-theme-font:\nminor-latin;mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:\nAS\">\u00b0<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:\n107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">, PQ = 8 cm and QR = 15 cm. The bisector of <\/span><span style=\"font-size:11.0pt;\nmso-bidi-font-size:14.0pt;line-height:107%;font-family:&quot;Cambria Math&quot;,serif;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:\n&quot;Cambria Math&quot;;mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:\nAS\">\u2220<\/span><span style=\"font-size:11.0pt;mso-bidi-font-size:14.0pt;line-height:\n107%;font-family:&quot;Calibri&quot;,sans-serif;mso-ascii-theme-font:minor-latin;\nmso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:\nminor-latin;mso-bidi-font-family:Vrinda;mso-bidi-theme-font:minor-bidi;\nmso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AS\">P of meets QR at D. What is the length of PD? <\/span><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"834\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-1024x834.png\" alt=\"\" class=\"wp-image-164864\" style=\"width:180px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-1024x834.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-300x244.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-767x625.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-1536x1251.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-2048x1668.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-184x150.png 184w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-100x81.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-430x350.png 430w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153-788x641.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-153.png 232w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-1024x576.png\" alt=\"\" class=\"wp-image-164865\" style=\"width:174px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-1024x576.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-300x169.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-768x432.png 768w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-1536x864.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-2048x1153.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-267x150.png 267w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-100x56.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-622x350.png 622w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154-788x443.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-154.png 199w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In \u2206 PQR, \u2220Q= 90\u00b0, PQ = 8 cm and QR = 15 cm. The bisector of \u2220P of meets QR at D. What is the length of PD? Sol:<\/p>\n","protected":false},"author":419,"featured_media":164866,"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-164863","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\/164863","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=164863"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164863\/revisions"}],"predecessor-version":[{"id":164867,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164863\/revisions\/164867"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164866"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}