Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises - Page 681: 18


$x=5$ ft

Work Step by Step

Similar triangles have corresponding sides that are proportional. The corresponding sides in the similar triangles are: the 8-ft and the 4-ft sides the 10-ft side and the one marked with an $x$. Use proportions to obtain: $\dfrac{8}{4} = \dfrac{10}{x}$ Cross-multiply to obtain: $8x=4(10) \\8x=40 \\x = \frac{40}{8} \\x=5$
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