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TOT 126 1986 Autumn S1 tangential trapezoid, area wanted

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August 29, 2019
geometrytrapezoidtangentialinradiusareas

Problem Statement

We are given trapezoid ABCDABCD and point MM on the intersection of its diagonals. The parallel sides are ADAD and BCBC and it is known that ABAB is perpendicular to ADAD and that the trapezoid can have an inscribed circle. If the radius of this inscribed circle is RR find the area of triangle DCMDCM .
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