« Vrati se
The lengths of the sides of a convex hexagon ABCDEF satisfy AB = BC, CD = DE, EF = FA. Prove that:
\frac {BC}{BE} + \frac {DE}{DA} + \frac {FA}{FC} \geq \frac {3}{2}.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1967IMO Shortlist 1997 problem 111
1969IMO Shortlist 1997 problem 132
1972IMO Shortlist 1997 problem 160
1975IMO Shortlist 1997 problem 192
1979IMO Shortlist 1997 problem 230
1982IMO Shortlist 1997 problem 260