MathDB
Function of area of a triangle

Source: IMO Longlist 1989, Problem 105

September 18, 2008
functiongeometryanalytic geometrygeometry unsolved

Problem Statement

Let E E be the set of all triangles whose only points with integer coordinates (in the Cartesian coordinate system in space), in its interior or on its sides, are its three vertices, and let f f be the function of area of a triangle. Determine the set of values f(E) f(E) of f. f.