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Finding hypotenuse in a 45-45-90 triangle.

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user1152924 | eNotes Newbie

Posted May 12, 2013 at 6:14 PM via web

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Finding hypotenuse in a 45-45-90 triangle.

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted May 12, 2013 at 6:21 PM (Answer #1)

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The hypotenuse of a right angle triangle can be evaluated using Pythagora's theorem, such that:

`a^2 = b^2 + c^2`

`a` represents the hypotenuse

`b,c` represent the legs of triangle

A `45^o-45^o-90^o` triangle is an isosceles right angle triangle, whose legs are equal in length, such that:

`b = c => b^2 = c^2`

`a^2 = 2b^2 => a = bsqrt 2`

Hence, evaluating the hypotenuse of an isosceles right angle triangle, yields `a = bsqrt 2.`

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