IMO Shortlist 1966 problem 60
Dodao/la:
arhiva2. travnja 2012. Prove that the sum of the distances of the vertices of a regular tetrahedron from the center of its circumscribed sphere is less than the sum of the distances of these vertices from any other point in space.
%V0
Prove that the sum of the distances of the vertices of a regular tetrahedron from the center of its circumscribed sphere is less than the sum of the distances of these vertices from any other point in space.
Izvor: Međunarodna matematička olimpijada, shortlist 1966