Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Review Exercises - Page 262: 20

Answer

AB = 6 BC = 12

Work Step by Step

Since there are two congruent angles, triangles ABC and DEF are similar. Thus, we create proportions: $\frac{AB}{2} = \frac{9}{3} \\ \frac{AB}{2} = 3 \\ AB = 6$ And: $\frac{9}{3} = \frac{BC}{4} \\ \frac{BC}{4} = 3 \\ BC = 12$
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