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: 19


$x=3.75$ ft

Work Step by Step

Similar triangles have corresponding sides that are proportional. Use proportions to obtain: $\begin{array}{ccc} &\dfrac{\text{base of bigger triangle}}{\text{base of smaller triangle}} &= &\dfrac{\text{height of the bigger triangle}}{\text{height of the smaller triangle}} \\&\dfrac{5+7}{5} &= &\dfrac{9}{x} \\&\dfrac{12}{5} &= &\dfrac{9}{x} \end{array}$ Cross-multiply to obtain: $12x=5(9) \\12x=45 \\x = \frac{45}{12} \\x=3.75$
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