Elementary Geometry for College Students (5th Edition)

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

Chapter 5 - Section 5.1 - Ratios, Rates, and Proportions - Exercises: 21

Answer

a) $AD=4\sqrt {3}$ b) $BD=4.5$

Work Step by Step

a) $\frac{AD}{BD}=\frac{DC}{AD}$ $\frac{AD}{6}=\frac{8}{AD}$ $AD^{2}=8\times6$ $AD^{2}=48$ $AD=\sqrt {48}$ $AD=4\sqrt {3}$ b) $\frac{AD}{BD}=\frac{DC}{AD}$ $\frac{6}{BD}=\frac{8}{6}$ $6\times6=8BD$ $36=8BD$ $BD=\frac{9}{2}=4.5$
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