Triangulate

Geometry Level 3

The figure shows a right triangle ABC at A , angle B = 60 degrees and angle C = 30 degrees. The line AM is the angle bisector of the angle A , the line AT is perpendicular to BC and the point N is the mid point of BC . the ratio of TM : MN = √m : n , where m , n are positive integers . find m - n ?


The answer is 1.

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