## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 632: 7

a=9

#### Work Step by Step

The hypotenuse is 41 and the leg is 40. To find the other leg plug in b and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $a^{2}$ + $40^{2}$= $41^{2}$: $a^{2}$ + $40^{2}$= $41^{2}$ -simplify the exponent- $a^{2}$ + 1600 =1681 - subtract 1600 from both sides- $a^{2}$=81 -find the square root of 81 to solve for b- a=9 A is 9.

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