What is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x. Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32 = 2 (16)

Solving for x, x = 4√2. The legs are both of length 4√2.