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tetrahedron inequality, with parameter

Source: France 1989 P3

May 18, 2021
geometry3D geometrytetrahedroninequalitiesgeometric inequalityGeometric Inequalities

Problem Statement

Find the greatest real kk such that, for every tetrahedron ABCDABCD of volume VV, the product of areas of faces ABC,ABDABC,ABD and ACDACD is at least kV2kV^2.
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