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 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 161: 50

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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