## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 44

#### Answer

$c=\sqrt{146} \text{ } in$

#### Work Step by Step

Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then, \begin{array}{l}\require{cancel} 5^2+11^2=c^2 \\\\ 25+121=c^2 \\\\ 146=c^2 \\\\ c=\pm\sqrt{146} .\end{array} Since there are no negative measurements, then $c=\sqrt{146} \text{ } in .$

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