Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Problem Set 10.1 - Page 442: 61

$b = 2\sqrt11$ feet

Work Step by Step

Plugging in given values into the Pythagorean Theorem gives: $10^2 + b^2 = 12^2$ Simplify by subtracting $10^2$ from both sides: $b^2 = 12^2 - 10^2=144-100=44$ To simplify $b^2 = 44$, take the square root of both sides: $\sqrt b^2 = \sqrt 44 = \sqrt 4\times 11$ Simplifying gives us the answer: $b = 2\sqrt11$ feet

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