1990.11.1

Part of Kyiv City MO 1984-93 - geometry

Problems(1)

sum of distances from vertices of cube >=4\sqrt3 a 1990 Kyiv City MO 11.1

Source:

Prove that the sum of the distances from any point in space from the vertices of a cube with edge

a

is not less than

4\sqrt3 a

geometry3D geometrycubegeometric inequality