1993.9.3

Part of Kyiv City MO 1984-93 - geometry

Problems(1)

constant sum of squares of distances, equilateral, circle 1993 Kyiv City MO 9.3

Source:

The circle divides each side of an equilateral triangle into three equal parts. Prove that the sum of the squares of the distances from any point of this circle to the vertices of the triangle is constant.

geometryEquilateralfixed