« Vrati se
The tangents at B and C to the circumcircle of the acute-angled triangle ABC meet at X. Let M be the midpoint of BC. Prove that

(a) \angle BAM = \angle CAX, and

(b) \frac{AM}{AX} = \cos\angle BAC.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1737IMO Shortlist 1988 problem 300
1730IMO Shortlist 1988 problem 230
1722IMO Shortlist 1988 problem 150
1710IMO Shortlist 1988 problem 30
1678IMO Shortlist 1986 problem 150
1657IMO Shortlist 1985 problem 160