If the hypotenuse of a 45°-45°-90° triangle has a length of $\surd 2$ , how long are the legs?

Brennan Flores
2021-08-16
Answered

If the hypotenuse of a 45°-45°-90° triangle has a length of $\surd 2$ , how long are the legs?

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Velsenw

Answered 2021-08-17
Author has **91** answers

A 45°-45°-90° triangle is a right isosceles triangle. If x is the length of each leg, we can use the Pythagorean Theorem to write:
$x}^{2}+{x}^{2}={\left(\surd 2\right)}^{2$

$2{x}^{2}=2$

${x}^{2}=1$

x=1

x=1

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