6 points on plane, each 3 are vertices of triangles with different sides
Source: Polish MO Second Round 1976 p6
September 8, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
Six points are placed on the plane such that each three of them are the vertices of a triangle with sides of different lengths. Prove that the shortest side of one of these triangles is also the longest side of another of them.