Algebra 1

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

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 619: 6



Work Step by Step

Use the Pythagorean Theorem to find the missing length. $a^2+b^2=c^2\longrightarrow$ substitute the given values $9^2+b^2=41^2\longrightarrow$ simplify exponents $81+b^2=1681\longrightarrow$ subtract 196 from each side $81+b^2-81=1681-81\longrightarrow$ subtract $b^2=1600\longrightarrow$ find the square root of each side $\sqrt{b^2}=\sqrt{1600}\longrightarrow$ simplify $b=40$
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