Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 632: 8



Work Step by Step

The hypotenuse is 39 and the leg is 36. To find the other leg plug in a and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $a^{2}$ + $36^{2}$= $39^{2}$: $a^{2}$ + $36^{2}$= $39^{2}$ -simplify the exponent- $a^{2}$ + 1296 =1521 - subtract 1296 from both sides- $a^{2}$=225 -find the square root of 225 to solve for a- a=15 A is 15.
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