« Vrati se
The incircle of triangle \triangle ABC touches the sides BC, CA, AB at D, E, F respectively. X is a point inside triangle of \triangle ABC such that the incircle of triangle \triangle XBC touches BC at D, and touches CX and XB at Y and Z respectively.
Show that E, F, Z, Y are concyclic.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2307IMO Shortlist 2009 problem G39
2220IMO Shortlist 2006 problem G410
1916IMO Shortlist 1995 problem NC43
1913IMO Shortlist 1995 problem NC15
1908IMO Shortlist 1995 problem G40
1866IMO Shortlist 1993 problem G42