To determine the number of sides of the two-dimensional vertical cross section of a pyramid, we need to consider the shape of the pyramid itself.
A pyramid typically has a polygonal base and triangular sides. When you take a vertical cross section of a pyramid, the shape of the cross section will depend on how the cut is made.
- If the vertical cross-section cuts through the apex of the pyramid and the base, it will show a triangular shape.
- If the vertical cut is made parallel to one of the sides, it can also show a triangular shape, or depending on the base's shape, it can vary.
However, if we assume a simple pyramid with a polygonal base (like a square), the vertical cross section that includes the apex will typically consist of two triangular sections that meet at the apex and points on the base.
Therefore, the two-dimensional vertical cross section of a pyramid generally has 3 sides (as in the case of the triangular cross section).
So, the two-dimensional vertical cross section has 3 sides.