A triangular pyramid is a pyramid having a triangular base. The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.
The edge length and slant height of a regular triangular pyramid is a special case of the formula for a regular gonal pyramid with , given by
(1)
 
(2)

where is the height and is the length of a side of the base.
Like all pyramids, the volume of triangular pyramid is given by
(3)

where is the area of the triangular base and is the height of the pyramid.
The regular tetrahedron is a special case of the triangular pyramid.