Question

Which statements are true about a triangular pyramid? Select 3 options. It has exactly two faces that are triangles. It has exactly three faces that are triangles. It has exactly four faces that are triangles. It has 4 vertices. It has 5 faces. It has 6 edges.

Answer 1

(c) It has exactly four faces that are triangles

(d) It has 4 vertices

(f) It has 6 edges

Explanation:

You want to identify 3 true statements about a triangular pyramid.

Figure

An image of a triangular pyramid is attached.

The base is one triangular face. Each of its three edges is the base of a lateral triangular face, so there are a total of 1+3 = 4 triangular faces.

The base triangle has 3 vertices. The lateral triangular faces meet at another vertex, for a total of 3+1 = 4 vertices.

The base triangle has 3 edges. Each of the 3 base vertices joins the fourth vertex with an additional edge, for a total of 3+3 = 6 edges.

A triangular pyramid has 4 faces, 4 vertices and 6 edges.