## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 4 - Congruent Triangles - 4-1 Congruent Figures - Practice and Problem-Solving Exercises: 38

#### Answer

$AC=DF = 19$

#### Work Step by Step

If two triangles are congruent, the corresponding angles and sides are congruent as well. Thus, we find: $7a+5=5a+9\\ 2a=4\\ a=2$ Plugging this back into the original equation, we obtain: $AC=DF=2(5)+9 = 19$

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