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area of AMN, circles with diameters AB,AM 2014 BMT Individual 8

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January 2, 2022
geometryarea of a triangleareas

Problem Statement

Line segment ABAB has length 44 and midpoint MM. Let circle C1C_1 have diameter ABAB, and let circle C2C_2 have diameter AMAM. Suppose a tangent of circle C2C_2 goes through point B B to intersect circle C1C_1 at NN. Determine the area of triangle AMNAMN.
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