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max area of triangle ACD, AB=3, BC=4, CA=5, BD=6 2014 BMT Individual 12

Source:

January 2, 2022
geometryarea of a triangleareasgeometric inequality

Problem Statement

Suppose four coplanar points A,B,CA, B, C, and DD satisfy AB=3AB = 3, BC=4BC = 4, CA=5CA = 5, and BD=6BD = 6. Determine the maximal possible area of △ACD\vartriangle ACD.
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