Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 42

Answer

$c=25 \text{ } m$

Work Step by Step

Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then, \begin{array}{l}\require{cancel} 7^2+24^2=c^2 \\\\ 49+576=c^2 \\\\ 625=c^2 \\\\ c=\pm\sqrt{625} \\\\ c=\pm\sqrt{(25)^2} \\\\ c=\pm25 .\end{array} Since there are no negative measurements, then $ c=25 \text{ } m .$
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