A triangular pyramid.
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A pyramid must have at least four faces (sides) so a three sided pyramid is mathematically impossible.
Wow, really... a pyramid is three sided and it has been used as a tomb. (technically it's 4 sided, three sides and a bottom, but that's as close as your going to get to a three sided tomb, especially in geometry...)
A 3 dimensional triangle is called a pyramid, otherwise a 2D three sided polygon shape is exactly what you called it, a triangle.
A three sided pyramid has four sides and six edges (think four sided die used in role playing games).
Tetrahedrons are 4-sided solids. A regular tetrahedron is the equilateral pyramid, having one pyramid as the base and three others the sides.