What do these shapes have in common?

Each of these shapes can be classified as triangles. What makes a triangle? Most people know that a triangle has three sides and three angles, however they must also satisfy four theorems

Theorem The sum of two side lengths of a triangle when added together, must be greater than the length of the third side.

Theorem The sum of the Interior angles of a triangle add to 180 degrees

Theorem The interior and exterior angles of a triangle add to 180 degrees ( supplementary )

Theorem The longest side of a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle of a triangle.

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