Difference between revisions of "1965 IMO Problems/Problem 3"
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Revision as of 11:43, 16 July 2009
Problem
Given the tetrahedron whose edges and have lengths and respectively. The distance between the skew lines and is , and the angle between them is . Tetrahedron is divided into two solids by plane , parallel to lines and . The ratio of the distances of from and is equal to . Compute the ratio of the volumes of the two solids obtained.
Solution
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