# Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 632: 4

c=12.2

#### Work Step by Step

The legs are 2.2 and 12. You have to find the hypotenuse, so you plug in the a and b into the Pythagorean theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $2.2^{2}$ + $12^{2}$= $c^{2}$: $2.2^{2}$ + $12^{2}$= $c^{2}$ - simplify exponents- 4.84 + 144 = $c^{2}$ -add like terms- 148.84= $c^{2}$ -find the square root of 148.84 to solve for c- 12.2=c C is 12.2

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.