Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Problem Set 10.1: 57

Answer

$c = 5\sqrt 2$

Work Step by Step

Using Pythagorean Theorem, $a^2 + b^2 = c^2$, and plugging in the values for a and b, gives $1^2 + 7^2 = c^2$, which can be simplified to $1+49=c^2$ To solve $c^2 = 50$, we take the square root of both sides, giving $c = \sqrt 50 = \sqrt (25\times2)=5\sqrt2$
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