Question

Find the length of side in simplest radical form with a rational denominator.

Answer 1

x=2sqrt2

Explanation:

The legs are equal, thus the sides are x, x, and hypotenuse is 4. This means that x^2+x^2=4^2. Thus, 2x^2=16 => x^2=8 => x= sqrt8 => x=2sqrt2