3 points forming a triangle with area not exceeding 1/48
Source: Austrian - Polish 2000 APMC
May 4, 2020
combinatoricscombinatorial geometryareatriangle area
Problem Statement
In the plane are given points, no three of which are collinear. Four of this points are vertices of a unit square, while the others lie inside the square. Prove that there are three points in this set forming a triangle with area not exceeding .