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Omni-MATH / A right triangle and a circle are drawn such that the circle is tangent to the…

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problem

A right triangle and a circle are drawn such that the circle is tangent to the legs of the right triangle. The circle cuts the hypotenuse into three segments of lengths 1,24 , and 3 , and the segment of length 24 is a chord of the circle. Compute the area of the triangle.

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