Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.5 - Special Right Triangles - Exercises - Page 259: 6

Answer

$YZ = 10/\sqrt 2$ = 7.07 $XY= 10/\sqrt 2$ = 7.07

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 given $YZ = 10/\sqrt 2$ = 7.07 $XY= 10/\sqrt 2$ = 7.07 By Theorem 5.5.1/ (45-45-90 Theorem)
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