MathDB

9.1

Part of 2023 Sharygin Geometry Olympiad

Problems(1)

4 of the 6 trisector points are concyclic

Source: Sharygin Finals 2023 9.1

8/2/2023
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.
Sharygin Geometry OlympiadSharygin 2023medianConcyclicgeometry