MathDB

1

Part of 1992 Poland - Second Round

Problems(1)

perimeter of the polygon with lattice vertices is an even number.

Source: Polish MO Recond Round 1992 p1

9/9/2024
Every vertex of a polygon has both integer coordinates; the length of each side of this polygon is a natural number. Prove that the perimeter of the polygon is an even number.
geometryanalytic geometrylatticecombinatorial geometry