VMO 1985 Problem 6
ABCD is a tetrahedron. The base BCD has area S. The altitude from B is at least (AC + AD)/2, the altitude from C is at least (AD + AB)/2, and the altitude from D is at least (AB + AC)/2. Find the volume of the tetrahedron.
Community text Kalva (prase.cz mirror). Quoted with source.
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