Question

an equilateral triangle is rotated around an axis bisecting the triangle. what shape is formed? triangular prism diamond cone triangular pyramid

Explanation:

When an equilateral triangle is rotated around an axis that bisects it (the axis is the altitude of the triangle), we can visualize the - dimensional shape formed. A cone is formed by rotating a right - angled triangle around one of its legs. In the case of an equilateral triangle, when rotated about its altitude (which is also the median and the angle bisector), the base of the triangle (which is a line segment) traces out a circular base, and the other two sides of the triangle (which are of equal length) form the lateral surface of the cone.
A triangular prism is a 3 - D shape with two congruent triangular bases and three rectangular lateral faces, which is not formed by rotation of a triangle around an axis bisecting it. A diamond (a 2 - D shape, also known as a rhombus) is not a 3 - D shape formed by this rotation. A triangular pyramid (a tetrahedron) has a triangular base and three triangular lateral faces, but it is not formed by the rotation of an equilateral triangle around an axis bisecting it.

Answer:

cone