IMO Shortlist 2001 problem G1
Kvaliteta:
Avg: 0.0Težina:
Avg: 6.0 Let be the center of the square inscribed in acute triangle with two vertices of the square on side . Thus one of the two remaining vertices of the square is on side and the other is on . Points are defined in a similar way for inscribed squares with two vertices on sides and , respectively. Prove that lines are concurrent.
Source: Međunarodna matematička olimpijada, shortlist 2001