Answer
$b = 8$
Work Step by Step
$a^{2} + b^{2} = c^{2}$
$(6)^{2} + b^{2} = (10)^{2}$
$36 + b^{2} = 100$
$b^{2} = 64$
$b = ±\sqrt {64}$
$b = ±8$
Since $b \ne -8$, the only answer is $b = 8$.
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: 38
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