2009 ToT Spring Senior O P5 concurrency in a tetrahedron
Source:
February 26, 2020
tetrahedron3D geometrygeometryconcurrent
Problem Statement
Suppose that is an arbitrary point inside a tetrahedron. Through each vertex of the tetrahedron, draw a straight line that is parallel to the line segment connecting with the intersection point of the medians of the opposite face. Prove that these four lines meet at the same point.