Answer
25
Work Step by Step
Since we have a right triangle with legs $a$, $b$ and the hypotenuse $c$, then by the Pythagorean theorem, we have $$c^2=a^2+b^2.$$
Thus, the hypotenuse is given by
$$
c=\sqrt{a^2+b^2}=\sqrt{7^2+24^2}=\sqrt{625}=25
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 15
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