3 disks contain vertices of an equilateral triangle
Source: Romanian TST 2002
February 5, 2011
geometry proposedgeometry
Problem Statement
Find the least positive real number with the following property:Whatever four disks are considered, each with centre on the edges of a unit square and the sum of their radii equals , there exists an equilateral triangle which has its edges in three of the disks.Radu Gologan