{"id":11448,"date":"2022-07-11T16:06:47","date_gmt":"2022-07-11T10:36:47","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11448"},"modified":"2022-07-11T16:06:50","modified_gmt":"2022-07-11T10:36:50","slug":"sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/","title":{"rendered":"Sides of some triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm"},"content":{"rendered":"

Solution :<\/h2>\n

(i)<\/strong> 7 cm, 24 cm, 25 cm<\/p>\n

Let AB = 7 cm, BC = 24 cm, CA = 25 cm<\/p>\n

then\u00a0 \\({AB}^2\\) = 49,\u00a0 \\({BC}^2\\) = 576\u00a0 and\u00a0 \\({CA}^2\\) = 625<\/p>\n

\\({AB}^2\\) + \\({BC}^2\\) = 625 = \\({CA}^2\\)<\/p>\n

Yes, ABC is a right triangle<\/strong> and its hypotenuse is 25 cm.<\/strong><\/p>\n

(ii)<\/strong> 3 cm, 8 cm, 6 cm<\/p>\n

Let AB = 3 cm, BC = 8 cm, CA = 6 cm<\/p>\n

then\u00a0 \\({AB}^2\\) = 9,\u00a0 \\({BC}^2\\) = 64\u00a0 and\u00a0 \\({CA}^2\\) = 36<\/p>\n

\\({AB}^2\\) + \\({CA}^2\\) = 45 \\(\\ne\\) \\({BC}^2\\)<\/p>\n

No, ABC is not a right triangle.<\/strong><\/p>\n

(iii)<\/strong> 50 cm, 80 cm, 100 cm<\/p>\n

Let AB =\u00a0 50 cm, BC = 80 cm, CA = 100 cm<\/p>\n

then\u00a0 \\({AB}^2\\) = 2500,\u00a0 \\({BC}^2\\) = 6400\u00a0 and\u00a0 \\({CA}^2\\) = 10000<\/p>\n

\\({AB}^2\\) + \\({BC}^2\\) = 8900 \\(\\ne\\) \\({CA}^2\\)<\/p>\n

No, ABC is not a right triangle.<\/strong><\/p>\n

(iv)<\/strong> 13 cm, 12 cm, 5 cm<\/p>\n

Let AB = 13 cm, BC = 12 cm, CA = 5 cm<\/p>\n

then\u00a0 \\({AB}^2\\) = 169,\u00a0 \\({BC}^2\\) = 144\u00a0 and\u00a0 \\({CA}^2\\) = 25<\/p>\n

\\({BC}^2\\) + \\({CA}^2\\) = 169 = \\({AB}^2\\)<\/p>\n

Yes, ABC is a\u00a0right triangle<\/strong> and its hypotenuse is 13\u00a0cm.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : (i) 7 cm, 24 cm, 25 cm Let AB = 7 cm, BC = 24 cm, CA = 25 cm then\u00a0 \\({AB}^2\\) = 49,\u00a0 \\({BC}^2\\) = 576\u00a0 and\u00a0 \\({CA}^2\\) = 625 \\({AB}^2\\) + \\({BC}^2\\) = 625 = \\({CA}^2\\) Yes, ABC is a right triangle and its hypotenuse is 25 cm. (ii) 3 cm, …<\/p>\n

Sides of some triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm<\/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":"\nSides of some triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm - 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\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sides of some triangles are given below. Determine which of them are right triangles. 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In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-11T10:36:47+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-11T10:36:50+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Sides of some triangles are given below. 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In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm - Mathemerize","og_description":"Solution : (i) 7 cm, 24 cm, 25 cm Let AB = 7 cm, BC = 24 cm, CA = 25 cm then\u00a0 ({AB}^2) = 49,\u00a0 ({BC}^2) = 576\u00a0 and\u00a0 ({CA}^2) = 625 ({AB}^2) + ({BC}^2) = 625 = ({CA}^2) Yes, ABC is a right triangle and its hypotenuse is 25 cm. (ii) 3 cm, … Sides of some triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm Read More »","og_url":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/","og_site_name":"Mathemerize","article_published_time":"2022-07-11T10:36:47+00:00","article_modified_time":"2022-07-11T10:36:50+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"Sides of some triangles are given below. 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Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse (i) 7 cm, 24 cm, 25 cm (ii) 3 cm, 8 cm, 6 cm (iii) 50 cm, 80 cm, 100 cm (iv) 13 cm, 12 cm, 5 cm - Mathemerize","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2022-07-11T10:36:47+00:00","dateModified":"2022-07-11T10:36:50+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/sides-of-some-triangles-are-given-below-determine-which-of-them-are-right-triangles-in-case-of-a-right-triangle-write-the-length-of-its-hypotenuse-i-7-cm-24-cm-25-cm-ii-3-cm-8-cm-6-c\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"Sides of some triangles are given below. 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