Height of the Tri. Pyramid and base radius

Author:
vxfiles
Topic:
Pyramid
Trying to find the coordinates of the points on a Triangular Pyramid with edge size 1, the distance from a base vertex to the base center would be sqrt(3)/3 ([DF] or distance h) as it can be verified here, and the distance from base center to apex or pyramid height is sqrt(2/3) ([FG] or distance j)