Difference between revisions of "1965 IMO Problems/Problem 3"
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Revision as of 23:32, 18 July 2016
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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