MathDB

2

Part of 1999 Czech And Slovak Olympiad IIIA

Problems(1)

volumes of tetrahedra, midpoints of medians related

Source: Czech And Slovak Mathematical Olympiad, Round III, Category A 1999 p2

2/20/2020
In a tetrahedron ABCD,EABCD, E and FF are the midpoints of the medians from AA and DD. Find the ratio of the volumes of tetrahedra BCEFBCEF and ABCDABCD.
Note: Median in a tetrahedron connects a vertex and the centroid of the opposite side.
3D geometrytetrahedronVolumegeometry