The plane is colored with two colors so that the following property holds: for each real a>0 there is an equilateral triangle of side length a whose 3 vertices are of the same color.Prove that for any three numbers a,b,c>0 for which the sum of any two is greater than the third there is a triangle with sides a, b, and c whose 3 vertices are of the same color. combinatorical geometryColoringEquilateral Trianglecombinatoricsgeometry