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Three circles of equal radius have a common point O and lie inside a given triangle. Each circle touches a pair of sides of the triangle. Prove that the incenter and the circumcenter of the triangle are collinear with the point O.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1964IMO Shortlist 1997 problem 82
1847IMO Shortlist 1992 problem 201
1705IMO Shortlist 1987 problem 210
1663IMO Shortlist 1985 problem 221
1589IMO Shortlist 1982 problem 130
1144IMO Shortlist 1959 problem 47