A triangular based pyramid would have 4 corners; three for the triangular base and one for the peak.
A pyramid has twice as many edges as sides in its base; thus a triangular pyramid has 2 × 3 = 6 edges.
A triangular based pyramid is called a tetrahedron.
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5
A triangular based pyramid has 4 vertices.
It depends on the shape of the base. A pyramid that has a base with n vertices (an n-gon) will have n+1 vertices in all.
five A triangular based prism has 5 A triangular based pyramid has 4 and there is no such thing as a triangular based prism pyramid - unless you mean a truncated pyramid (or a frustum) which is essentially a prism.
If you imagine a square-based pyramid sitting on its base, there will be the four corners of the square, plus the top: a square-based pyramid has five corners.