# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Lesson Check: 2

y = 7

#### Work Step by Step

Using the Pythagorean Theorem, which is $a^2 + b^2 = c^2$ Given $a = 24, b = y, c=25$ Solving $y = \sqrt (c^2 - a^2)$ $y = \sqrt (25^2 - 24^2) = 7$

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