1993.14

Part of Cono Sur Shortlist - geometry

Problems(1)

min sum of squares of distances, centroid - 1993 Cono Sur Shortlist G14

Source:

Prove that the sum of the squares of the distances from a point

P

to the vertices of a triangle

ABC

is minimum when

P

is the centroid of the triangle.

geometryCentroidgeometric inequalitymin