Find the length of the leg of the triangle 45-45-90 with a long hypotenuse of 25 inches.

ediculeN 2021-02-24 Answered
Find the length of the leg of the triangle 45-45-90 with a long hypotenuse of 25 inches.
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Expert Answer

Theodore Schwartz
Answered 2021-02-25 Author has 99 answers

In a 45°-90°90° triangle, the length of the hypotenuse is $2–\sqrt{2}$ times each leg.
If x is the leg length, then we can write:
$25=\sqrt{2×x}$
$\frac{25}{\sqrt{2}}=x$
$\frac{25}{\sqrt{2}}×\frac{\sqrt{2}}{\sqrt{2}}$
$x=\frac{\left(25×\sqrt{2}\right)}{2}$

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