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Prove that 2a ≤ P ≤ 3a - [ILL 1977]

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January 11, 2011
geometry3D geometrytetrahedronperimetergeometry unsolved

Problem Statement

The intersection of a plane with a regular tetrahedron with edge aa is a quadrilateral with perimeter P.P. Prove that 2a≤P≤3a.2a \leq P \leq 3a.
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