Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-1 Ratios and Proportions - Practice and Problem-Solving Exercises: 15

Answer

24 cm, 28 cm, 36 cm

Work Step by Step

Set the smallest side length equal to x. Then according to the extended ratio 6:7:9, the middle side length is equal to $\frac{7}{6}$x, and the largest side length is equal to $\frac{9}{6}$x. Given the perimeter is equal to 88, we set up the following equation: x + $\frac{7}{6}$x + $\frac{9}{6}$x = 88 $\frac{22}{6}$x = 88 x=24 To solve for the other two sides, we have: $\frac{7}{6}$x = $\frac{7}{6}$(24) = 28 and $\frac{9}{6}$x = $\frac{9}{6}$(24) = 36
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