B. 4034. The midpoint of one side of a triangle is F, and the points dividing another side into three equal parts are H1 and H2. The third side is divided into n equal parts by the points . Consider all triangles FHiNj where i=1,2, . Show that for any triangle selected out of these triangles there is exactly one other triangle that has the same area.
Suggested by T. Káspári, Paks
Solution (in Hungarian)