Answer
$XZ = 10$
$YZ= 10$
Work Step by Step
By the given Figure
$\angle Z=90^{\circ}$ given
$\angle X=45^{\circ}$ given
So remaining$ \angle Y=45^{\circ}$
now $XY= 10 \sqrt 2$ given
By Theorem 5.5.1/ (45-45-90 Theorem)
$XZ = 10$
$YZ= 10$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 5 - Section 5.5 - Special Right Triangles - Exercises - Page 257: 7
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