Answer:
6
Step-by-step explanation:
There are 2 congruent angles in the right triangle so the sides are equal.
let's label one of them x, which means the other one is also x.
And by the Pythagorean Theorem:
[tex]x^2 + x^2 = (4\sqrt{2})^2\\2x^2 = 32\\x^2 = 16\\x = 6[/tex]