MathDB
TOT 156 1987 Autumn J7 3 triangles (blue, green and red) , common P

Source:

April 19, 2020
Coloringcombinatoricscombinatorial geometry

Problem Statement

Three triangles (blue, green and red) have a common interior point MM. Prove that it is possible to choose one vertex from each triangle so that point MM is located inside the triangle formed by these selected vertices.
(Imre Barani, Hungary)