A pyramid does not need to have any equal sides. A REGULAR pyramid has as many equal sides as the number of sides on the base. So, a triangular pyramid (tetrahedron) will have 3 equal faces, a square based pyramid will have 4, etc.
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A pyramid.
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A pyramid has one base. Whichever side is on the bottom is called the base.
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If side refers to 'face', then the pyramid would be a quadrilateral pyramid with 8 edges. If side refers to the base of the pyramid, it would be a pentagonal pyramid with 10 edges.