Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 153: 46

Answer

38.4 inches

Work Step by Step

1. We are told that YW is 14.3 inches. 2. Since YX is congruent to YZ, which equals 7.8 inches, YX equals 7.8 inches. 3. Since we found it is a right triangle, we use the Pythagorean theorem to find XW: $XW = \sqrt{ 7.8^2 + 14.3^2} = 16.3$ Thus: $P = 16.3 + 7.8 + 14.3 = 38.4$
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