Question 80
A plane intersects a tetrahedron $ABCD$ and divides the medians of the triangles $DAB$, $DBC$ and $DCA$ through $D$ in ratios $1:2$, $1:3$ and $1:4$ from $D$, respectively. Find the ratio of the volumes of the two parts of the tetrahedron cut by the plane.
Oleg Mushkarov
Oleg Mushkarov