Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 256: 23

Answer

(a) $\overline{EC}$ is longer than $\overline{AE}$ (b) $\overline{DB}$ is longer than $\overline{CD}$ (c) $\overline{FB}$ is longer than $\overline{AF}$

Work Step by Step

(a) $\frac{AE}{AB} = \frac{EC}{BC}$ $\frac{AE}{6.7} = \frac{EC}{7.2}$ $AE = \frac{6.7}{7.2}~EC \lt EC$ (b) $\frac{CD}{AC} = \frac{DB}{AB}$ $\frac{CD}{5.3} = \frac{DB}{6.7}$ $CD = \frac{5.3}{6.7}~DB \lt DB$ (c) $\frac{AF}{AC} = \frac{FB}{BC}$ $\frac{AF}{5.3} = \frac{FB}{7.2}$ $AF = \frac{5.3}{7.2}~FB \lt FB$
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