Answer
$c = 5$
Work Step by Step
$a^{2} + b^{2} = c^{2}$
$(3)^{2} + (4)^{2} = c^{2}$
$9 + 16 = c^{2}$
$c^{2} = 25$
$c = ±\sqrt {25}$
$c = ±5$
Since $c \ne - 5$, then the only answer is $c = 5$.
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Appendix A - A.4 - Quadratic Equations - Exercises - Page 561: 37
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