MathDB

56

Part of 1966 IMO Shortlist

Problems(1)

Soviet Union 13

Source: IMO LongList 1959-1966 Problem 56

9/2/2004
In a tetrahedron, all three pairs of opposite (skew) edges are mutually perpendicular. Prove that the midpoints of the six edges of the tetrahedron lie on one sphere.
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