Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.3 - Simplifying Radicals, the Distance Formula, and Circles - 7.3 Exercises: 113

Answer

$c=5$

Work Step by Step

According to the Pythagorean Theorem, if $a$ and $b$ are the lengths of the shorter sides of a right triangle and $c$ is the length of the longest side, then $a^{2}+b^{2}=c^{2}$. Therefore, $3^{2}+4^{2}=c^{2}$. $9+16=c^{2}$ $25=c^{2}$ Take the square root of both sides. $\sqrt 25=c=5$ (where we know that $c$ must be positive, since it is a length)
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