IMO Shortlist 2013 problem G5


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 8,0
Dodao/la: arhiva
21. rujna 2014.
LaTeX PDF
Let ABCDEF be a convex hexagon with AB = DE, BC = EF, CD = FA, and \angle A - \angle D = \angle C - \angle F = \angle E - \angle B. Prove that the diagonals AD, BE, and CF are concurrent.
Izvor: Ukraine