Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 5 - Test - Page 264: 12



Work Step by Step

The parallel line that crosses through the triangle creates proportional sides in the triangle. Or, in other words... $\frac {AD}{DB}=\frac {AE}{EC}$ Substitute in known values, and $x$ for the unknown value... $\frac{6}{8}=\frac{9}{x}$ Cross Multiply... $6x=8(9)$ $6x=72$ Divide both sides by six... $x=12$ or $EC=12$
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