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Let ABC be a triangle. D is a point on the side (BC). The line AD meets the circumcircle again at X. P is the foot of the perpendicular from X to AB, and Q is the foot of the perpendicular from X to AC. Show that the line PQ is a tangent to the circle on diameter XD if and only if AB = AC.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1982IMO Shortlist 1997 problem 260
1975IMO Shortlist 1997 problem 192
1974IMO Shortlist 1997 problem 183
1972IMO Shortlist 1997 problem 160
1969IMO Shortlist 1997 problem 132
1967IMO Shortlist 1997 problem 111