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Circle inscribed and circumscribed in the right triangle

In a right triangle, the point of tangency of the circle inscribed in the triangle divides the hypotenuse into two segments of lengths 4 cm and 6 cm. Find the lengths of the legs of the triangle.

AB =

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BC =

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The radius of the circumscribed circle of a right triangle is 10 cm long, and the radius of the inscribed circle is 4 cm. Find the lengths of the legs of the triangle.

R =

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