Question

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(ab)² + (bc)² = (ac)²
ac = ___ ft.
options: √30,000; √50,000; √1,400
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Explanation:

Step1: Identify known values

$AB = 100$ ft, $BC = 200$ ft

Step2: Substitute into Pythagorean theorem

$AC^2 = (AB)^2 + (BC)^2 = 100^2 + 200^2$

Step3: Calculate squared terms

$100^2 = 10,000$, $200^2 = 40,000$

Step4: Sum and take square root

$AC^2 = 10,000 + 40,000 = 50,000$
$AC = \sqrt{50,000}$

Answer:

$\sqrt{50,000}$