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: 23

Answer

Right triangle. Hypotenuse is $25$.

Work Step by Step

The given sidelengths form a right triangle if they satisfy the Pythagorean Theorem formula $c^2=a^2+b^2$ where $c$ is the longest side (hypotenuses). Substitute all the values into the formula: $(25)^2=(7)^2+(24)^2$ $625=49+576$ $625=625$ Both sides are equal. Hence, the sides represent a right triangle. Hypotenuse is the longest side. Hence, the hypotenuse is $25$.
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