« Vrati se
The incenter of the triangle ABC is K. The midpoint of AB is C_1 and that of AC is B_1. The lines C_1K and AC meet at B_2, the lines B_1K and AB at C_2. If the areas of the triangles AB_2C_2 and ABC are equal, what is the measure of angle \angle CAB?

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1782IMO Shortlist 1990 problem 120
1775IMO Shortlist 1990 problem 50
1388IMO Shortlist 1969 problem 581
1387IMO Shortlist 1969 problem 570
1340IMO Shortlist 1969 problem 100
1335IMO Shortlist 1969 problem 50