## Prealgebra (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.4 - Square Roots and the Pythagorean Theorem - Exercise Set: 32

#### Answer

b=$\sqrt 72$ b$\approx8.485yds$

#### Work Step by Step

$a^{2}$ +$b^{2}$ =$c^{2}$ Let a=3yd. and c=9yd. $3^{2}$ +$b^{2}$ =$9^{2}$ 9+$b^{2}$=81 $b^{2}$=81-9 $b^{2}$ =72 b=$\sqrt 72$ b$\approx8.485yds$ The length of the leg is exactly $\sqrt 72$ and approximately 8.485 yds

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