An acute-angled triangle lies in the plane such that the coordinates of its vertices
are all different integers and no sides are parallel to the coordinate axes. If the
triangle has area 348 and one side of length 29, what is the product of the lengths of the other two sides?
Any hints? I can't seem to get an algebraic approach to work as too many variables and results on lattice-point triangles e.g. Pick's Theorem seem promising but can't easily be related to side lengths.