Assuming that "equal ladder" is meant to be equilateral, the answer is a tetrahedron, one of the 5 Platonic solids.
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A three-dimensional shape with eight triangular faces is called an octahedron.
octahedron
it is afrog
tetrahedron
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"