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No, Triangular prisms have two bases that are triangular but these need not be equilateral.

Q: Do triangular prisms always have two bases that are equilateral?

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Yes, triangular prisms have two faces that are equilateral triangles and three faces that are rectangles.

They can be, but they don't have to be equilateral to be a triangular prism.

Sometimes triangular prisms have isosceles triangle bases. It is the most common, but they don't always have isosceles triangles.

An equilateral triangle with 3 equally sized isosceles triangles connected to it by their bases

... whereas one of the "bases" of prisms are vertices.

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Yes, triangular prisms have two faces that are equilateral triangles and three faces that are rectangles.

yes, they do ,because they have two bases that are equilateral triangle and three faces that are rectangles.

They can be, but they don't have to be equilateral to be a triangular prism.

Sometimes triangular prisms have isosceles triangle bases. It is the most common, but they don't always have isosceles triangles.

Those figures are called triangular prisms.

To find the surface area of an equilateral triangular prism you take the area of the rectangular sides and the triangular bases and add them up and your done.

They could be pentahedra in the form of triangular prisms or octahedra in the form of triangular antiprisms.

The faces are always rectangles on prisms, so if it's a triangular prism the bases are triangles; if it's a rectangular prism, the bases are rectangles; if it's a hexagonal prism, the bases are hexagons. Any polygon can form the base of a prism. Some people also consider cylinders to be circular prisms. In which case any closed plane shape can form the base of a prism.

An equilateral triangle with 3 equally sized isosceles triangles connected to it by their bases

... whereas one of the "bases" of prisms are vertices.

A triangular prism has two triangular bases and three lateral rectangular faces. It has five faces in all so that it is a pentahedron.A triangular pyramid has a triangular base and three triangular lateral faces. It has 4 faces in all so that it is a tetrahedron.

Prisms consist of two polygonal "bases" and rectangular faces joining them. Prisms are named after the polygonal bases.