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: 4

Answer

12.2

Work Step by Step

Use the Pythagorean Theorem to find the missing length. $a^2+b^2=c^2\longrightarrow$ substitute the given values $2.2^2+12^2=c^2\longrightarrow$ simplify exponents $4.84+144=c^2\longrightarrow$ add $148.84=c^2\longrightarrow$ find the square root of each side $\sqrt{148.84}=\sqrt{c^2}\longrightarrow$ simplify $12.2=c$
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