Question

Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8√2

Answer 1

The length the hypotenuse of an isosceles right triangle, or a 45-45-90 triangle, is always radical two times as long as any leg of the triangle. With this, we can set up an equation where x represents the length of a leg.

x$\sqrt{2}$ = 8$\sqrt{2}$
divide both sides by $\sqrt{2}$ 
x = 8

The length of a leg of the triangle is 8