Question

Hat two-dimensional cross-sections could we create by slicing the particular triangular prism shown below? \qquad The triangular base of the prism is an equilateral triangle. Choose all answers that apply: Choose all answers that apply: (Choice A) A Scalene triangle (Choice B, Checked) B Isosceles triangle (Choice C) C Equilateral triangle Stuck?Watch a video or use a hint.

Answer 1

Explanation:

Hello! Remember you have to provide complete questions in order to get good and exact answers. Here I can only help you in a general way. A prism is a solid object that has two identical bases, hence the same cross section along the length. If the two bases of the prism are triangular, then we are in the presence of a triangular prism.

Since the statements tells us that the triangular base of the prism is an equilateral triangle, then the conclusion is that the cross section will be an equilateral triangle as well.

The figure below illustrates this problem. As you can see, we have an equilateral triangular prism whose bases are drawn in red. The cross section is shown in yellow and is a flat shape that is congruent to the bases. Since the bases are equilateral triangle, each side of the triangle shown in the cross section will have the same measure which is indicated as $s$