If all of the faces are equilateral triangles, or triangles whose edges are all the same lengths, the pyramid is termed a regular tetrahedron.

Like all pyramids , the volume of triangular pyramid is given by.

Many different types of pyramids exist, and mathematicians classify them by the form of the base. Copyright 2019 Leaf Group Ltd. In geometry, vertices are essentially corners.

Contact the MathWorld Team. References MathIsFun: Find the length of the base and the height of one of the triangles. Terms of Use.

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. The regular tetrahedron is a special case of the triangular pyramid.

Pyramids PlanetMath: Mon Feb 11 2019. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Triangular-based pyramids have six edges, three along the base and three extending up from the base. Unlimited random practice problems and answers with built-in Step-by-step solutions. Retrieved from https: Volume of Cones, Pyramids, and Spheres.

The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces. To determine the surface area of a triangular-based pyramid, add together the area of the base plus the area of all of the sides.

For regular tetrahedra, this calculation is simple.

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