Difference between revisions of "1966 IMO Problems/Problem 3"

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==See Also==
 
==See Also==
 
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{{IMO box|year=1966|num-b=2|num-a=4}}
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[[Category:Olympiad Geometry Problems]]
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[[Category:3D Geometry Problems]]

Revision as of 22:33, 18 July 2016

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.

Solution

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See Also

1966 IMO (Problems) • Resources
Preceded by
Problem 2
1 2 3 4 5 6 Followed by
Problem 4
All IMO Problems and Solutions