MathDB

2

Part of 1978 Austrian-Polish Competition

Problems(1)

Parallelogram in hexagon

Source: Austrian-Polish 1978, Problem 2

7/5/2015
A parallelogram is inscribed into a regular hexagon so that the centers of symmetry of both figures coincide. Prove that the area of the parallelogram does not exceed 2/32/3 the area of the hexagon.
geometryparallelogramsymmetry