A square based pyramid nearly meets the requirements - except that it is not "triangular shaped" as required by the question.
Four.
Triangular 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.
A pyramid.
Those are the pyramids.
Four sides of a pyramid are triangular-shaped, meaning they have three sides. The fifth side is square-shaped, meaning it's four-sided.
Both the Egyptians and the Maya/Aztec built large pyramids with triangular sides and square bases.
An icosidodecahedron has twenty triangular faces and twelve pentagonal faces... so 42 sides, but the sides are not all shaped the same.
A triacontakaidigon is a polyhedron with 32 sides. If the sides are all triangles, then there are 32 triangles in a triacontakaidigon, but a triacontakaidigon does not need to have triangular shaped sides.
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.
A triangular pyramid is a four sided 3D shape. All four sides are triangles. It resembles a 'traditional' pyramid, like the ones in Egypt. A triangular prism is a five sided 3D shape. It consists of two identical triangular sides connected by three identical rectangular sides. think of it as a cylinder with triangles on the ends and three sides instead of a smooth surface.