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Find the value of x in this figure

Find the value of x in this figure-example-1

1 Answer

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If PQ is the tangent, then m∠P = 90°.

Therefore we can use the Pythagorean theorem:


x^2=5^2+12^2\\\\x^2=25+144\\\\x^2=169\to x=√(169)\\\\\boxed{x=13}

Answer: 13

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