Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 6 - Section 6.5 - Congruent and Similar Triangles - Exercise Set - Page 454: 33


14.4 ft

Work Step by Step

Write a proportion. Height is to height as length is to length. $\frac{30}{24}=\frac{18}{x}$ $\longrightarrow$cross multiply to solve for x $30x=24\times18$ $\longrightarrow$multiply $30x=432$ $\longrightarrow$multiplication property of equality $30x\div30=432\div30$ $\longrightarrow$divide $x=14.4$
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