## Prealgebra (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.4 - Square Roots and the Pythagorean Theorem - Exercise Set - Page 445: 31

#### Answer

b=$\sqrt 44$ b$\approx$6.633

#### Work Step by Step

$a^{2}$ +$b^{2}$ =$c^{2}$ Let a=10cm and c=12cm $10^{2}$ +$b^{2}$ =$12^{2}$ 100+$b^{2}$=144 $b^{2}$=144-100 $b^{2}$ =44 b=$\sqrt 44$ b$\approx6.633cm$ The length of the leg is exactly $\sqrt 44$ and approximately 6.33cm.

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