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Tetrahedron. How to make pdf template
The ancient Greeks gave the polyhedron a name according to the number of faces. "Tetra" means four, "hedra" means the face (tetrahedron - a solid having four faces).
Therefore, the question "What is a tetrahedron?", We can give the following definition: "Tetrahedron is a geometric solid of four faces, each of which is a regular triangle".
Polyhedron refers to the regular polyhedra and is one of the five Platonic solids.
The tetrahedron has the following characteristics:
The type of face is the right triangle;
The number of sides at the face is 3;
The total number of faces is 4;
The number of edges adjacent to the vertex is 3;
The total number of vertices is 4;
The total number of edges is 6;
The regular tetrahedron is composed of four equilateral triangles. Each vertex is a vertex of three triangles. Therefore, the sum of flat angles at each vertex is 180 °.
The tetrahedron has no symmetry center but has 3 axes of symmetry and 6 planes of symmetry.
Is the tetrahedron a pyramid? Yes, the tetrahedron is a triangular pyramid where all sides are equal.
Can a pyramid be a tetrahedron? Only if it is a pyramid with a triangular base and each of its sides is an equilateral triangle.
The tetrahedron can be placed in a sphere (inscribed) so that each of its vertices will touch the inner wall of the sphere. The formula determines the radius of the described sphere of the tetrahedron: Where "a" is the side length. The sphere can be inscribed inside the tetrahedron. The formula determines the radius of the inscribed sphere of a tetrahedron: The surface area of a tetrahedron The surface area of a tetrahedron can be represented as a shape net area. The following formula determines the volume of the tetrahedron: The following formula determines the height of the tetrahedron: The formula determines the distance to the center of the base of the tetrahedron:
Mathematical characteristics of a tetrahedron
The tetrahedron surface area can be defined as the area of one of the tetrahedron's sides. This is the area of a regular triangle, multiplied by 4. Or use the formula: 
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