## Elementary Algebra

Published by Cengage Learning

# Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Problem Set 10.1 - Page 442: 58

#### Answer

$c = 2\sqrt 10$

#### Work Step by Step

Through Pythagorean Theorem, we obtain: $2^2 + 6^2 = c^2$, which simplifies to $4+36 = c^2$ To solve for c, take the square root of both sides: $c = \sqrt 40 = \sqrt (4 \times 10) = 2\sqrt 10$

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