Final answer:
Prisms, cones, and pyramids can have a triangular cross-section, while a cylinder cannot because its bases are always circles.
Step-by-step explanation:
The shapes that could have a triangular cross-section are prisms, cones, and pyramids. A prism has bases that are polygons and every cross-section parallel to these bases is congruent to the bases, meaning one can have a triangular base making the cross-section triangular. A cone and pyramid can also have a triangular cross-section if you cut them with a plane parallel to one of the faces of the triangle base. However, a cylinder cannot have a triangular cross-section because its bases are always circular and any cross-section parallel to these bases will also be a circle.
Therefore, the correct answer is C) Prisms, Cones, and Pyramids.