Q:

# Why are triangles so strong?

A:

Triangles are strong because of their inherent structural characteristics. The corner angles of a triangle cannot change without an accompanying change in the length of the edge. Therefore, in order to change a triangle’s shape, an edge must collapse.

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Credit: Sarah Wetherby CC-BY-2.0

Edges can be made much stronger than connections. Triangles hold large loads without collapsing or having their structure altered. Triangles are the only polygons that have this characteristic. For instance, triangles have three connections, while squares have four. When forces are applied to a square, a square is more prone to lose its shape. Engineers often add a diagonal through the middle of a square, effectively turning it into two triangles and making it stronger. Triangles are the fundamental building blocks of many contemporary structures. Their strong, inflexible structure makes them perfect for contemporary designs. They are used in architecture and construction to create structures that must bear a certain amount of weight but still have material strength limits. For example, bridge and trusses are often constructed around triangles. Disney’s Epcot Center is another recognizable example of a structure in which triangles create stability in a 3-D structure. Of all the two-dimensional polygons, the triangle is considered the strongest because of its inherent structural qualities.

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## Related Questions

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Three triangles can be drawn inside a regular pentagon. If the diagonals are drawn from any one vertex of the pentagon, the number of triangles formed is given by the formula n - 2, where “n” is the number of sides of the polygon.

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Pyramids are three-dimensional tetrahedrons with a base, which can be rectangular or triangular, and corresponding sides comprised of triangles that meet at a single apex. Thus, because there are multiple kinds of pyramids, there are multiple pyramid-shaped or pyramid-like objects in and around the household.

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The SSS congruence postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, the triangles themselves are congruent. Triangles are congruent if, when one is superimposed on another, they match.