## Algebra 1

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises: 38

10

#### Work Step by Step

use the Pythagorean theorem. $a^{2}+b^{2}=c^{2}$ plug 8 and 10 into the equation $8^{2}+10^{2}=c^{2}$ solve for c $8^{2}+10^{2}=12.8^{2}$ 10 is given, and 10 is greater than 8. 10 can also be the hypotenuse. so, c=10

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