MathDB
0262 geometry 2nd edition Round 6 p2

Source:

May 10, 2021
geometry2nd edition

Problem Statement

A triangle ABCABC is located in a cartesian plane π\pi and has a perimeter of 3+233 + 2\sqrt3. It is known that the triangle ABCABC has the property that any triangle in the plane π\pi, congruent with it, contains inside or on the boundary at least one lattice point (a point with both coordinates integers). Prove that the triangle ABCABC is equilateral.
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