Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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

Answer

$y=7$

Work Step by Step

To solve this equation, we are going to use the Pythagorean Theorem, which is: $a^2+b^2=c^2$ When we substitute the variables for our numbers, we get: $24^2+y^2=625$ (In this expression, $y$ represents $b$) Next, we have to expand the square roots into: $576+y^2=625$ If you subtract $576$ from both sides, you get: $y^2=49$ Next, you take the square root of both sides. $\sqrt y^2=\sqrt 49$ Therefore, you arrive at your final answer, which is: $y=7$
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