• zmudz
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 $$(a + b + c + d)(h_a + h_b + h_c + h_d) \geq kV.$$
Mathematics

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