Question

find x.
right triangle with angles 45°, 45°, 90°, one leg 8, hypotenuse x
options: 8√2, 8, 4√2, 45

Explanation:

Step1: Identify triangle type

This is a 45-45-90 triangle (isosceles right triangle), where legs are equal, hypotenuse \( h = \text{leg} \times \sqrt{2} \).

Step2: Apply 45-45-90 ratio

Given leg length \( = 8 \), hypotenuse \( x = 8 \times \sqrt{2} \).

Answer:

\( 8\sqrt{2} \) (corresponding to the option " \( 8\sqrt{2} \)")