# How do you find the remaining sides of a 45^circ-45^circ-90^circ triangle if the longest sides are each 8sqrt2?

both sides $= 8$
A ${45}^{\circ} - {45}^{\circ} - {90}^{\circ}$ triangle is in the ratio of $x : x : x \sqrt{2}$
Since the longest side is $8 \sqrt{2}$, the other sides are $8$