Junior Balkan MO 1999 - Problem 3
Dodao/la:
arhiva27. listopada 2023. Let $S$ be a square with the side length 20 and let $M$ be the set of points formed with the vertices of $S$ and another 1999 points lying inside $S$. Prove that there exists a triangle with vertices in $M$ and with area at most equal with $\frac{1}{10}$.
Izvor: Juniorska balkanska matematička olimpijada 1999.