Problem 6.

A circle is inscribed in a right triangle with dimensions x, y, and r. (x and y are the distances from the corners to where the circle intersects the legs and r is the radius of the circle as shown below.) Find the area of the triangle in terms of x and y only (without r).




[Problem submitted by Roger Wolf, LACC Professor of Mathematics and Chairman of the Department of Mathematics and Computer Science.]

SOLUTION


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- Last Updated: 12/10/08