Prealgebra (7th Edition)

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

Chapter 6 - Section 6.4 - Square Roots and the Pythagorean Theorem - Practice - Page 442: 10

Answer

10.95 feet

Work Step by Step

Equation: $a^{2} + b^{2} = c^{2}$ Substitute in the known lengths $7^{2} + b^{2} = 13^{2}$ Square the lengths $49 + b^{2} = 169$ Substratct 49 from both sides $b^{2} = 120$ Find the square root of both sides $b = 10.95$
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