IMO Shortlist 1966 problem 53
Dodao/la:
arhiva2. travnja 2012. Prove that in every convex hexagon of area
![S](/media/m/c/6/3/c63593c3ec0773fa38c2659e08119a75.png)
one can draw a diagonal that cuts off a triangle of area not exceeding
%V0
Prove that in every convex hexagon of area $S$ one can draw a diagonal that cuts off a triangle of area not exceeding $\frac{1}{6}S.$
Izvor: Međunarodna matematička olimpijada, shortlist 1966