Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 4 - Review Exercises - Page 218: 33b

Answer

$WY=30$

Work Step by Step

The diagonals of a rhombus are perpendicular and bisect each other. If $XZ=16$, then half of tht diagonal is $8$. The side of our rhombus is $17$. Using The Pythagorean Theorem... $17^{2}=8^{2}+b^{2}$ Simplify the squared numbers... $289=64+b^{2}$ Subtract 64 from both sides... $225=b^{2}$ Square root both sides... $b=15$ $15$ is only half of the measure of diagonal $WY$. Double 15 and the length of $WY=30$.
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