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: 7

Answer

a=9

Work Step by Step

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