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Find the length of X?

Find the length of X?-example-1

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2 votes

Answer:


\textbf{B)}~ 2√(83)

Explanation:


\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies \left( 12 \sqrt 3\right)^2 = 10^2 + x^2\\\\\implies 144\cdot 3 = 100+x^2\\\\\implies 432 =100+x^2\\\\\implies 432-100=x^2\\\\\implies 332= x^2\\\\\implies x = √(332)\\\\\implies x=√(4 * 83)\\\\\implies x = 2√(83)

User Charlie Lin
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