Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 617: 36


• In order to find the area, you must find the length of the other leg.

Work Step by Step

• To find the length of the other leg, we use Pythagorean's theorem. $26^2 - 10^2 = 676 - 100 = 576 = \boxed {24^{2}}$ The length of the other leg is $24$. To find the area, you need to multipy $24$ and $10$ and divide the product by $2$. The area is $\boxed{120}$
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