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A pyramid with a triangular base. The faces are 4 equilateral triangles.

Q: What solid figure has 4 equal sides?

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A pyramid

A square is a rectangle with 4 equal sides and 4 equal angles. A rhombus is a parallelogram with 4 equal sides.

There is a contradiction in your question. If the base has four equal sides then is it a square so not all the faces are Triangles. However if the base is a square and the rest of the faces are triangles then your object is a "Square-based Pyramid"

Rectangle.

Square

Related questions

A pyramid

The figure is a pyramid and the base is a square.

A tetrahedron.

A figure with 4 equal sides and 4 equal angles is a square :)

A square is a rectangle with 4 equal sides and 4 equal angles. A rhombus is a parallelogram with 4 equal sides.

Not necessarily. The solid could be a square based cuboid (hexahedron).

a cube

a square

A triangular based pyramid would seem to fit the given description which has 4 equal sided triangular faces, 6 edges and 4 vertices.

Rectangle.

There is a contradiction in your question. If the base has four equal sides then is it a square so not all the faces are Triangles. However if the base is a square and the rest of the faces are triangles then your object is a "Square-based Pyramid"

Square