Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 234: 22

Answer

40/3 or 13.3

Work Step by Step

Since ADE ~ ABC we can assume that AD=AB and DE=CB. We are also told that DB=BC. We can call BC X. Then we set up a proportion AD/DE = AB/CB. However we do not know the measure of DB or BC. We plug in 8+X for AB and X for CB. The resulting proportion is 8/5=(8+X)/X. You then solve and get 40/3 or 13.3.
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