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China Mathematical Olympiad 1986 problem2

Source: China Mathematical Olympiad 1986 problem2

January 16, 2014
trigonometrygeometrytrig identitiesLaw of Sinesgeometry unsolved

Problem Statement

In △ABC\triangle ABC, the length of altitude ADAD is 1212, and the bisector AEAE of ∠A\angle A is 1313. Denote by mm the length of median AFAF. Find the range of mm when ∠A\angle A is acute, orthogonal and obtuse respectively.
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