Pythagorean theorem two practice questions

Aug 10th, 2016
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This document contains 2 practice questions related to Pythagrean theorem . Hope they will be helpful.

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Q1: A rectangle has an area of 48 cm2 , and its length is 8 cm , find the length of itsdiagonal .Solution :8 cmFirst we should find the with , since Area = length x width we have48 = 8 x wHence, w = 48 / 8 = 6 cmTo find the diagonal, apply pythagorean theorem so we will getD2 = l2 + w2So D2 = 64 + 36 = 100Hence D = 10 cmQ2: A right-angle triangle has side lengths x , x+7 , x+8 . Determine the lengths of itssides .Solution :The largest side is x+8 , so it must be the hypotenuse of the triangle. Henceby applying Pyth. Theorem we will get :(x + 8)2 = (x + 7)2 + x2So x2 +

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