A Median Difference Condition

★ 7/10plane geometry Extrema conic sections Triangle Geometry

Problem

In $\triangle ABC$ , $M$ is the midpoint of $BC$ , $BM = 2$ , and $AM = AB - AC$ . Find the maximum possible area of $\triangle ABC$ .

Answer

Solution

Difficulty	7/10
Topics	plane geometry, Extrema, conic sections, Triangle Geometry

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