Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Got It?: 1

Answer

The length of AC is 24.

Work Step by Step

The problem states that the two triangles are similar triangles. This means that all of the sides are proportional. We will call x the side that we want to find. Thus, we set up the equation: $x/18=16/12$. We multiply both sides of the equation by 18 to obtain that x=24.
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