## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Got It? - Page 615: 2

#### Answer

$y=7$

#### Work Step by Step

Starting with the pythagorean theorem, we have: $24^{2} + y^{2} = 25^{2}$ $\implies 576 + y^{2} = 625$ We now subtract 576 from both sides: $\implies y^{2} = 49$ Take the square root $\implies y=7$

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