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Which of the following is a triangular pyramid having all the faces as equilateral triangle?

Question

Which of the following is a triangular pyramid having all the faces as equilateral triangle?

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Solution

The shape you are describing is known as a "tetrahedron." A tetrahedron is a type of polyhedron that has four triangular faces, with each face being an equilateral triangle. This means that all sides are of equal length and all angles are equal, typically at 60 degrees.

In summary:

  1. A tetrahedron consists of:
    • 4 faces (all triangular),
    • 4 vertices, and
    • 6 edges.
  2. All faces are equilateral triangles, making it a regular tetrahedron.
  3. Therefore, among various geometrical shapes, the one that fits your description is indeed the tetrahedron.

If you have options to choose from, look for the one labeled "tetrahedron" or "triangular pyramid."

This problem has been solved

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