As far as polygons go, a triangle is the only one that is defined by its side lengths. If you have a triangle of sides 5,6, and 7, there is only one shape it can take. The same cannot be said of other polygons. Imagine a square. It can be squished into a diamond with the same side lengths. read more
The triangle is the strongest shape due to the rigidity of its sides, which allows them to transfer force more evenly through their sides than other shapes. Triangles are used extensively in the construction of buildings and bridges. read more
They are considered the strongest shape because a triangular structure subject to strong forces only collapses due to material fatigue and not to geometric distortion. It is easier to understand why triangles are so strong when compared to a square or rectangular structure. read more