# Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 632: 2

c=1.7

#### Work Step by Step

The legs are 0.8 and 1.5. You have to find the hypotenuse so you plug in a and b into the Pythagorean theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $0.8^{2}$ + $1.5^{2}$= $c^{2}$: $0.8^{2}$ + $1.5^{2}$= $c^{2}$ -simplify the exponents- 0.64+2.25 = $c^{2}$ -add the like terms- 2.89= $c^{2}$ - find the square root of 2.89 to solve for c- $\sqrt 2.89$=1.7 c=1.7 C is 1.7

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