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4 of the 6 trisector points are concyclic

Source: Sharygin Finals 2023 9.1

August 2, 2023
Sharygin Geometry OlympiadSharygin 2023medianConcyclicgeometry

Problem Statement

The ratio of the median AMAM of a triangle ABCABC to the side BCBC equals 3:2\sqrt{3}:2. The points on the sides of ABCABC dividing these side into 33 equal parts are marked. Prove that some 44 of these 66 points are concyclic.
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