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18

Part of 2003 Iran MO (3rd Round)

Problems(1)

Tetrahedron with circumcircles having the same radius

Source: Iranian National Olympiad (3rd Round) 2003

1/24/2009
In tetrahedron ABCD ABCD, radius four circumcircles of four faces are equal. Prove that AB\equal{}CD, AC\equal{}BD and AD\equal{}BC.
geometry3D geometrytetrahedroncircumcirclespheregeometry proposed