Let \(a, b, c,\) and \(d\) be the areas of the triangular faces of a tetrahedron, and let \(h_a, h_b, h_c,\) and \(h_d\) be the corresponding altitudes of the tetrahedron. If \(V\) denotes the volume of the tetrahedron, find the maximum \(k\) such that
\((a + b + c + d)(h_a + h_b + h_c + h_d) \geq kV.\)

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So h are the altitude of the triangles which make up the tetrahedron?

@thomas5267 from what I understand of the problem, yes

|dw:1441666807027:dw|
I think it's like this.

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