MathDB

3

Part of 2002 Austrian-Polish Competition

Problems(1)

Center of gravity of a tetrahedron

Source: 2002 Austrian-Polish, problem 3

9/23/2006
Let ABCDABCD be a tetrahedron and let SS be its center of gravity. A line through SS intersects the surface of ABCDABCD in the points KK and LL. Prove that 13≤KSLS≤3\frac{1}{3}\leq \frac{KS}{LS}\leq 3
geometry3D geometrytetrahedrongeometry unsolved