Answer
$XZ=8$
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
$XZ=8$
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
9781285195698
ISBN 13:
978-1-28519-569-8
Chapter 5 - Test - Page 264: 10b
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