# Difference between revisions of "1965 IMO Problems/Problem 3"

(Created page with '== Problem == Given the tetrahedron <math>ABCD</math> whose edges <math>AB</math> and <math>CD</math> have lengths <math>a</math> and <math>b</math> respectively. The distance be…') |
m (→Solution) |
||

Line 4: | Line 4: | ||

== Solution == | == Solution == | ||

{{solution}} | {{solution}} | ||

+ | |||

+ | [[Category:Olympiad Geometry Problems]] | ||

+ | [[Category:3D Geometry Problems]] |

## Latest revision as of 22:32, 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

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*