Work Step by Step
$\triangle RST$ is a 45-45-90 Triangle. The length of the hypotenuse is $(leg length)\sqrt 2$. Since the hypotenuse is $8 \sqrt2$, then the length of each leg equals $8$. So... $XZ=ZY=8$ or just $XZ=8$
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.