SSS (Side-Side-Side) Congruence

The Louvre Pyramid in Paris, France is an amazing structure that serves as an entrance to the museum that holds the Mona Lisa. To support the heavy glass, the architect decides to use sets of congruent triangles made of supporting beams to distribute the weight evenly. Each triangle has one side (beam) on the base of the pyramid (at ground level). How many congruent triangles are in each set? $\\$Assume the beams are equidistant (are spread evenly) along the length of the pyramid edges.