![\"\"](\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/09\/pythagoras1.jpg\" "\\"pythagoras1\\"")
<\/a><\/p>\nBy Pythagoras theorem,<\/p>\n
c2<\/sup> = a2<\/sup>+b2<\/sup><\/p>\n where c<\/em><\/strong> is the hypotenuse and a<\/em><\/strong>,b<\/em><\/strong> are the legs of the right angle triangle.<\/p>\n This means that, if we frame the squares along all the three sides of a right angled triangle then the area of square along hypotenuse is equal to the areas of the other two squares put together.<\/p>\n Example:<\/strong><\/p>\n Here 52<\/sup> = 32<\/sup> + 42<\/sup><\/p>\n 25 = 9+16<\/p>\n 25=25.<\/p>\n So, Pythagoras theorem is used to determine whether the given triangle is right-angled.<\/p>\n Since here we got 25=25 using the statement of Pythagoras theorem, we can say that the triangle with lengths 3,4 and 5 is right-angled.<\/p>\n Also, Pythagoras theorem is used to determine the length of an unknown side of a right angled triangle.<\/p>\n Example:<\/strong><\/p>\n By Pythagoras theorem,<\/p>\n a2<\/sup> + 42<\/sup> = 52<\/p>\n a2<\/sup> + 16 = 25<\/p>\n a2<\/sup> = 25-16=9<\/p>\n a = \u221a9=3<\/p>\n In the same way, Pythagoras theorem is used to obtain the formula for the diagonal of a square.<\/p>\n Since all the angles in square are right angles, Pythagoras theorem can be applicable for the triangle which is inside the square.<\/p>\n So, diagonal2<\/sup> = a2<\/sup> +a2<\/sup>=2a2<\/sup><\/p>\n So, the diagonal of square = \u221a2 a SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Newman visit: Tutoring in Newman.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Years ago, a mathematician namely Pythagoras stated a theorem on right angles triangles. Hence the theorem is named as Pythagoras theorem. Pythagoras theorem states that \u201cIn a right angled triangle, the square of length of the hypotenuse (the longest side) is the sum of the squares of the other two sides. By Pythagoras theorem, c2 […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[902,1451,1550,1713,1853],"class_list":["post-3455","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-hypotenuse","tag-pythagoras","tag-right-angled","tag-square","tag-triangle"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/3455","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=3455"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/3455\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=3455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=3455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=3455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}<\/a><\/p>\n<\/a><\/p>\n<\/a><\/p>\n<\/a><\/p>\n
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