Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 562: 37

Answer

$c = 5$

Work Step by Step

We can find the value of $c$: $c^2 = a^2+b^2$ $c^2 = (3)^2+(4)^2$ $c^2 = 9+16$ $c^2 = 25$ $c = \pm \sqrt{25}$ $c = -\sqrt{25}~~$ or $~~c = \sqrt{25}$ $c = -5~~$ or $~~c = 5$ Since the value of $c$ must be positive, $c = 5$
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