2

Part of 1999 Kurschak Competition

Problems(1)

Centroid of projection points on the sides of a triangle

Source: Kürschák 1999, problem 2

Given a triangle on the plane, construct inside the triangle the point

P

for which the centroid of the triangle formed by the three projections of

P

onto the sides of the triangle happens to be

P

geometrygeometry unsolved