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An equilateral pentagon is a polygon with five sides of equal length. However, its five internal angles can take a range of sets of values, thus permitting it to form a family of pentagons. In contrast, the regular pentagon is unique, because it is equilateral and moreover it is equiangular (its five angles are equal).
A pyramid having a pentagonal base is called a pentagonal pyramid. The pentagon of the base may be a regular or an irregular pentagon. Since the base has exactly five sides, the pyramid will have exactly 5 lateral faces. As in all pyramids, each of the lateral face would be a triangle.