Final answer:
The net of a triangular pyramid with an equilateral triangle as its base is formed by a central equilateral triangle joined by three identical triangles along each edge to form a star-like pattern when laid out flat.
Step-by-step explanation:
The net of a triangular pyramid with an equilateral triangle for a base consists of four triangular faces. Three of these triangles are identical and are connected to each side of the base equilateral triangle. The equilateral triangle is a three-sided figure lying on a plane, with each of its angles measuring 60 degrees and adding up to 180 degrees. The net can be visualized as the equilateral triangle with three other congruent triangles attached to each of its sides, forming a star-like shape when laid flat. Each of the three side triangles forms a lateral face of the pyramid, meeting at a single point above the base to create the apex of the pyramid.