IMO Shortlist 1965 problem 3

  Avg: 0.0
  Avg: 0.0
Dodao/la: arhiva
April 2, 2012
Given the tetrahedron ABCD whose edges AB and CD have lengths a and b respectively. The distance between the skew lines AB and CD is d, and the angle between them is \omega. Tetrahedron ABCD is divided into two solids by plane \epsilon, parallel to lines AB and CD. The ratio of the distances of \epsilon from AB and CD is equal to k. Compute the ratio of the volumes of the two solids obtained.
Source: Međunarodna matematička olimpijada, shortlist 1965