minimum number of triangles with the area not more than 1/4
Source: china mathematical olympiad cmo 2005 final round - Problem 5
January 25, 2005
geometryrectanglecombinatorial geometrycombinatorics unsolvedcombinatorics
Problem Statement
There are 5 points in a rectangle (including its boundary) with area 1, no three of them are in the same line. Find the minimum number of triangles with the area not more than , vertex of which are three of the five points.