Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 18

Answer

$50$.

Work Step by Step

The given sides are $a=14,b=48$ Use Pythagorean Theorem $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse to obtain: $c^2=(14)^2+(48)^2$ $c^2=196+2304$ $c^2=2500$ $c^2=50^2$ Take square root on both sides. $c=50$ Hence, the hypotenuse is $50$.
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