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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
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(1)
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(2)
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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
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(3)
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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.
