. Triangular pyramid faces
A triangular pyramid is a 3-d shape in which all of the faces are triangles. It is a pyramid with a triangular base linked by 4 triangular faces in which 3 faces meet at one vertex. If it is a right triangular pyramid, the bottom is a right-angled triangle while the other faces are isosceles triangles.
Let us do a small experiment to study more about the net of a triangular pyramid. Take a sheet of paper. You can examine different nets of a triangular pyramid provided below. Copy this on a paper. Cut it along with the edge and fold it as shown in the image below. The folded paper forms a shape of triangular pyramid.
There are 3 types of triangular pyramid
1. Regular Triangular Pyramid
A regular triangular pyramid has equilateral triangles as its faces. Since it is made of equilateral triangles, all its internal angles are 60°.
2. Irregular Triangular Pyramid
An irregular triangular pyramid also has triangular faces, however they are not equilateral. The internal angles in each plane add up to 180° as they are triangular. Unless a triangular pyramid is mainly referred to as irregular, all triangular pyramids are assumed to be regular triangular pyramids.
3. Right Triangular Pyramid
A right triangular pyramid (a 3-dimensional figure) has the bottom as a right-angled triangle and the apex is aligned above the middle of the bottom. It has one right-angled base, six edges, three triangular faces, and four vertices.
properties of triangle pyramid
The properties of a triangular pyramid help us to identify a pyramid from a given set of figures quick and easily. The different properties of a triangular pyramid are:
♦ A triangular pyramid has four triangular faces, six edges, and four vertices.
♦ three edges meet at each of its vertex.
♦ A triangular pyramid has no parallel faces.
♦ A regular triangular pyramid has equilateral triangles for all its faces. It has 6 planes of symmetry.
♦ Triangular pyramids may be regular, irregular, and right-angled.