{"id":11342,"date":"2022-07-07T20:07:21","date_gmt":"2022-07-07T14:37:21","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11342"},"modified":"2022-07-07T20:07:25","modified_gmt":"2022-07-07T14:37:25","slug":"s-and-t-are-points-on-sides-pr-and-qr-of-triangle-pqr-such-that-angle-p-angle-rts-show-that-triangle-rpq-triangle-rts","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/s-and-t-are-points-on-sides-pr-and-qr-of-triangle-pqr-such-that-angle-p-angle-rts-show-that-triangle-rpq-triangle-rts\/","title":{"rendered":"S and T are points on sides PR and QR of triangle PQR such that \\(\\angle\\) P = \\(\\angle\\) RTS. Show that \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS."},"content":{"rendered":"

Solution :<\/h2>\n

Given<\/strong> : \"triangle\"\\(\\triangle\\) RPQ and \\(\\triangle\\) RTS where \\(\\angle\\) P = \\(\\angle\\) RTS<\/p>\n

To prove<\/strong> : \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS<\/p>\n

Proof<\/strong> : In \\(\\triangle\\) RPQ and \\(\\triangle\\) RTS<\/p>\n

Given,\u00a0 \u00a0 \\(\\angle\\) P = \\(\\angle\\) RTS<\/p>\n

\\(\\angle\\) R = \\(\\angle\\) R\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (common)<\/p>\n

Hence, By AA similarity, \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Given : \\(\\triangle\\) RPQ and \\(\\triangle\\) RTS where \\(\\angle\\) P = \\(\\angle\\) RTS To prove : \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS Proof : In \\(\\triangle\\) RPQ and \\(\\triangle\\) RTS Given,\u00a0 \u00a0 \\(\\angle\\) P = \\(\\angle\\) RTS \\(\\angle\\) R = \\(\\angle\\) R\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (common) Hence, By AA similarity, …<\/p>\n

S and T are points on sides PR and QR of triangle PQR such that \\(\\angle\\) P = \\(\\angle\\) RTS. Show that \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,912],"tags":[],"yoast_head":"\nS and T are points on sides PR and QR of triangle PQR such that \\(\\angle\\) P = \\(\\angle\\) RTS. Show that \\(\\triangle\\) RPQ ~ \\(\\triangle\\) RTS. - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/s-and-t-are-points-on-sides-pr-and-qr-of-triangle-pqr-such-that-angle-p-angle-rts-show-that-triangle-rpq-triangle-rts\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"S and T are points on sides PR and QR of triangle PQR such that \\(\\angle\\) P = \\(\\angle\\) RTS. 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