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Given a tetrahedron ABCD, let x = AB \cdot CD, y = AC \cdot BD, and z = AD \cdot  BC. Prove that there exists a triangle with edges x, y, z.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1972IMO Shortlist 1997 problem 160
1961IMO Shortlist 1997 problem 50
1759IMO Shortlist 1989 problem 210
1683IMO Shortlist 1986 problem 200
1451IMO Shortlist 1973 problem 90
1206IMO Shortlist 1966 problem 231