{"id":11513,"date":"2022-07-12T23:15:08","date_gmt":"2022-07-12T17:45:08","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11513"},"modified":"2022-07-12T23:15:12","modified_gmt":"2022-07-12T17:45:12","slug":"tick-the-correct-answer-and-justify-in-triangle-ab-6sqrt3-cm-ac-12-cm-and-bc-6-cm-the-angle-is-i-120-ii-60-iii-90-iv-45","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/tick-the-correct-answer-and-justify-in-triangle-ab-6sqrt3-cm-ac-12-cm-and-bc-6-cm-the-angle-is-i-120-ii-60-iii-90-iv-45\/","title":{"rendered":"Tick the correct answer and justify : In \\(\\triangle\\), AB = \\(6\\sqrt{3}\\) cm, AC = 12 cm and BC = 6 cm. The angle is :  (i)  120   (ii)  60   (iii)  90   (iv)  45"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>In triangle ABC, we have :<img decoding=\"async\" loading=\"lazy\" class=\" wp-image-11530 alignright\" src=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?resize=192%2C148&#038;ssl=1\" alt=\"triangle\" width=\"192\" height=\"148\" srcset=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?resize=300%2C232&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?resize=1024%2C790&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?resize=768%2C593&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?resize=1536%2C1185&amp;ssl=1 1536w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-17.jpeg?w=1700&amp;ssl=1 1700w\" sizes=\"(max-width: 192px) 100vw, 192px\" data-recalc-dims=\"1\" \/><\/p>\n<p>AB = \\(6\\sqrt{3}\\) cm , AC = 12 cm<\/p>\n<p>and BC = 6 cm<\/p>\n<p>Now, \\({AB}^2\\) + \\({BC}^2\\) = \\((6\\sqrt{3})^2\\) + \\((6)^2\\)<\/p>\n<p>= \\(36 \\times 3\\) + 36 = 108 + 36 = 144 = \\((AC)^2\\)<\/p>\n<p>Thus, triangle ABC is a right angled triangle at B.<\/p>\n<p>\\(\\therefore\\)\u00a0 \\(\\angle\\) B = 90<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : In triangle ABC, we have : AB = \\(6\\sqrt{3}\\) cm , AC = 12 cm and BC = 6 cm Now, \\({AB}^2\\) + \\({BC}^2\\) = \\((6\\sqrt{3})^2\\) + \\((6)^2\\) = \\(36 \\times 3\\) + 36 = 108 + 36 = 144 = \\((AC)^2\\) Thus, triangle ABC is a right angled triangle at B. \\(\\therefore\\)\u00a0 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/tick-the-correct-answer-and-justify-in-triangle-ab-6sqrt3-cm-ac-12-cm-and-bc-6-cm-the-angle-is-i-120-ii-60-iii-90-iv-45\/\"> <span class=\"screen-reader-text\">Tick the correct answer and justify : In \\(\\triangle\\), AB = \\(6\\sqrt{3}\\) cm, AC = 12 cm and BC = 6 cm. The angle is :  (i)  120   (ii)  60   (iii)  90   (iv)  45<\/span> Read More &raquo;<\/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":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Tick the correct answer and justify : In \\(\\triangle\\), AB = \\(6\\sqrt{3}\\) cm, AC = 12 cm and BC = 6 cm. The angle is : (i) 120  (ii) 60  (iii) 90  (iv) 45 - 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\/tick-the-correct-answer-and-justify-in-triangle-ab-6sqrt3-cm-ac-12-cm-and-bc-6-cm-the-angle-is-i-120-ii-60-iii-90-iv-45\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tick the correct answer and justify : In \\(\\triangle\\), AB = \\(6\\sqrt{3}\\) cm, AC = 12 cm and BC = 6 cm. The angle is : (i) 120  (ii) 60  (iii) 90  (iv) 45 - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : In triangle ABC, we have : AB = (6sqrt{3}) cm , AC = 12 cm and BC = 6 cm Now, ({AB}^2) + ({BC}^2) = ((6sqrt{3})^2) + ((6)^2) = (36 times 3) + 36 = 108 + 36 = 144 = ((AC)^2) Thus, triangle ABC is a right angled triangle at B. (therefore)\u00a0 &hellip; Tick the correct answer and justify : In (triangle), AB = (6sqrt{3}) cm, AC = 12 cm and BC = 6 cm. 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The angle is : (i) 120  (ii) 60  (iii) 90  (iv) 45 - Mathemerize","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/tick-the-correct-answer-and-justify-in-triangle-ab-6sqrt3-cm-ac-12-cm-and-bc-6-cm-the-angle-is-i-120-ii-60-iii-90-iv-45\/","og_locale":"en_US","og_type":"article","og_title":"Tick the correct answer and justify : In \\(\\triangle\\), AB = \\(6\\sqrt{3}\\) cm, AC = 12 cm and BC = 6 cm. The angle is : (i) 120  (ii) 60  (iii) 90  (iv) 45 - Mathemerize","og_description":"Solution : In triangle ABC, we have : AB = (6sqrt{3}) cm , AC = 12 cm and BC = 6 cm Now, ({AB}^2) + ({BC}^2) = ((6sqrt{3})^2) + ((6)^2) = (36 times 3) + 36 = 108 + 36 = 144 = ((AC)^2) Thus, triangle ABC is a right angled triangle at B. 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