« Vrati se
Let ABCD be a convex quadrilateral. A circle passing through the points A and D and a circle passing through the points B and C are externally tangent at a point P inside the quadrilateral. Suppose that \angle{PAB}+\angle{PDC}\leq  90^\circ and \angle{PBA}+\angle{PCD}\leq  90^\circ.
Prove that AB+CD \geq  BC+AD.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2030IMO Shortlist 1999 problem G70
2057IMO Shortlist 2000 problem G76
2113IMO Shortlist 2002 problem G83
2222IMO Shortlist 2006 problem G68
2223IMO Shortlist 2006 problem G75
2225IMO Shortlist 2006 problem G95