Junior Balkan MO 1999 - Problem 3


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 4,0
Dodao/la: arhiva
27. listopada 2023.
LaTeX PDF

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.