A point is in the interior of a regular tetrahedron all of whose sides
have length *s*. The distances from the point to the vertices are
*a*, *b*, *c*, and *d* as shown in the figure above.

- Find an equation relating
*s*,*a*,*b*,*c*, and*d*. - Find a solution where
*s*,*a*,*b*,*c*, and*d*are all integers. - Can you find a solution where they are all
__distinct__integers?