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A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle. Let \(ABCD\) be a regular tetrahedron and let \(P\) be the unique point equidistant from points \(A,B,C,D\). Extend \(\overrightarrow{AP}\) to hit face \(BCD\) at point \(Q\). What is the ratio \(PQ/AQ\) ?

 Mar 28, 2019
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PQ/AQ = 2/5.

 Nov 30, 2019

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