Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 13

Answer

26

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 $$ c=\sqrt{a^2+b^2}=\sqrt{10^2+24^2}=\sqrt{676}=26 .$$
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