« Vrati se
Let ABC be a triangle such that \widehat{ACB} < \widehat{BAC} < \frac {\pi}{2}. Let D be a point of [AC] such that BD = BA. The incircle of ABC touches [AB] at K and [AC] at L. Let J be the center of the incircle of BCD. Prove that (KL) intersects [AJ] at its middle.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2307IMO Shortlist 2009 problem G39
2280IMO Shortlist 2008 problem G414
2109IMO Shortlist 2002 problem G48
1908IMO Shortlist 1995 problem G40
1907IMO Shortlist 1995 problem G310
1866IMO Shortlist 1993 problem G42