« Vrati se
Consider an acute-angled triangle ABC. Let P be the foot of the altitude of triangle ABC issuing from the vertex A, and let O be the circumcenter of triangle ABC. Assume that \angle C \geq \angle B+30^{\circ}. Prove that \angle A+\angle COP < 90^{\circ}.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1995IMO Shortlist 1998 problem G18
2162IMO Shortlist 2004 problem G120
2191IMO Shortlist 2005 problem G28
2217IMO Shortlist 2006 problem G131
2277IMO Shortlist 2008 problem G134
2305IMO Shortlist 2009 problem G117