diameter of circumcircle <= product of sides, lattice points
Source: Polish MO Second Round 1972 p3
September 8, 2024
geometrycircumcircleanalytic geometrylattice pointsgeometric inequality
Problem Statement
The coordinates of the triangle's vertices in the Cartesian system are integers. Prove that the diameter of the circle circumscribed by this triangle is not greater than the product of the lengths of the triangle's sides.