Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - 7-2 Similar Polygons - Lesson Check - Page 444: 4


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Work Step by Step

The problem states triangle FGH is similar to triangle MNP. So side NP is proportionate to side GH. NP is 10 and GH is 20. Sp NP/GH is 1/2 and triangle MNP/triangle FGH have a ratio of 1/2. To find x, which is the length of NM, we need to use side GF, which is 12 units. NM/GF must be 1/2, so x/12 =1/2. Thus, x equals 6.
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