## Elementary Geometry for College Students (7th Edition)

Published by Cengage

# Chapter 5 - Test - Page 275: 7a

#### Answer

$c=\sqrt 41$

#### Work Step by Step

Using Pythagorean's Theorem... $a^{2}+b^{2}=c^{2}$ Substitute in known lengths... $5^{2}+4^{2}=c^{2}$ Simplify... $25+15=c^{2}$ $41=c^{2}$ Square root both sides... $\sqrt 41=c$

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