Question

what is the length of leg s of the triangle below? a. 4.2 b. 1 c. 2 d. 8√2 e. 8 f. 4√2

Explanation:

Step1: Identify triangle type

It's a 45 - 45 - 90 triangle.

Step2: Recall side - length ratio

In a 45 - 45 - 90 triangle, if hypotenuse is $c$ and legs are $a = b$, $c=a\sqrt{2}$.

Step3: Solve for leg length

Given $c = 8\sqrt{2}$, then $a=\frac{c}{\sqrt{2}}=\frac{8\sqrt{2}}{\sqrt{2}} = 8$.

Answer:

E. 8