In the figure below, the altitudes AD and CE of triangle ABC meet at F, BF meets DE at G so that angles BAC and ACG are congruent. BH is perpendicular to DE and CG extended meets BH at M. If CG = 3 and GM = 2, find BM.

See also:

Art of problem 1442, Generative Sketching.

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

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