A square based pyramid nearly meets the requirements - except that it is not "triangular shaped" as required by the question.
Four.
Objects shaped like a square pyramid are polyhedrons with a square base and triangular sides that meet at a common vertex. These objects have five faces: one square base and four triangular faces. Examples of objects shaped like a square pyramid include the pyramids of Egypt and the roof of some buildings.
Triangular Pyramid.
No such thing as a 'Square' Pyramid. However, the Pyramids at Giza in Egypt have a square base, and four triangular sides that meet at a point. This is the classic form of a pyramid. NB A Triangular based pyramid is named a 'Tetrahedron', NOT a pyramid.
A solid with triangular sides is a "pyramid". (The pyramids in Egypt have four sides and a square base.)
A triangular shaped tomb is a burial structure or monument that is designed in the shape of a triangle. This type of tomb is less common and typically has three sides that come together at a point. Triangular tombs can be found in various cultures and time periods, and they may have different architectural and symbolic meanings depending on the context.
Those are the pyramids.
A pyramid.
Both the Egyptians and the Maya/Aztec built large pyramids with triangular sides and square bases.
Four sides of a pyramid are triangular-shaped, meaning they have three sides. The fifth side is square-shaped, meaning it's four-sided.
A pyramid with a square base, like the great pyramids of Egypt or Mexico. The bottom is square and they have four equal and identical triangular sides. This makes them different from a tetrahedron, a pyramid with a triangular base and three triangular sides.
An icosidodecahedron has twenty triangular faces and twelve pentagonal faces... so 42 sides, but the sides are not all shaped the same.