which other figure results when you slice a triangular pyramid perpendicular to its base
the smaller piece will also be a triangular pyramid, if only one edge is cut.
Otherwise, it will be a sort of truncated pyramid with a triangular base and a top edge parallel to that base. Don't know the name of such a shape.
To determine which figure results when you slice a triangular pyramid perpendicular to its base, you need to understand the different possibilities based on the angle of the slice.
1. Perpendicular slice: If the slice is perpendicular to the base of the triangular pyramid, it will result in a shape known as a triangle. The resulting triangle will have the same shape as the base of the pyramid.
2. Non-perpendicular slice: If the slice is not perpendicular to the base, it will result in a shape known as a cross-section. The cross-section can take various forms depending on the angle and position of the slice. It could be a triangle, trapezoid, hexagon, or any other polygon depending on the shape of the base and the angle of the slice.
To visualize and experiment with the different possibilities, you can use a physical model or a computer simulation of a triangular pyramid. By slicing it in different ways and observing the resulting cross-sections, you can gain a better understanding of the shapes that can be obtained.