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distances in triangle with <A=2<B

Source: Czech And Slovak Mathematical Olympiad, Round III, Category A 1991 p4

February 11, 2020
geometrydistanceratio

Problem Statement

Prove that in all triangles ABCABC with ∠A=2∠B\angle A = 2\angle B the distance from CC to AA and to the perpendicular bisector of ABAB are in the same ratio.
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