Question 52
A regular tetrahedron is a solid with four faces, all equilateral triangles of the same size. The figure below shows one.
Every edge of a regular tetrahedron has the same length. For example, above $\overline{AB}=\overline{AC}=\overline{CD}=\overline{BC}=\overline{AD}=\overline{BD}$. Show how to place a tetrahedron of edge length $\sqrt2$ entirely inside a cube of edge length $1$.
Every edge of a regular tetrahedron has the same length. For example, above $\overline{AB}=\overline{AC}=\overline{CD}=\overline{BC}=\overline{AD}=\overline{BD}$. Show how to place a tetrahedron of edge length $\sqrt2$ entirely inside a cube of edge length $1$.