MathDB
2013 ToT Spring Junior O p1 6 points split into 2 triples and create triangle

Source:

March 4, 2020
combinatoricscombinatorial geometrypoints

Problem Statement

There are six points on the plane such that one can split them into two triples each creating a triangle. Is it always possible to split these points into two triples creating two triangles with no common point (neither inside, nor on the boundary)?