There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?

Answer 1

Draw and label a diagram!

Two consecutive points subtend an angle of 15° at the center.

Equilateral triangle have a vertex at 60°.

A point and the fourth point after create and equilateral triangle.

If the triangles can overlap, there are 24.

If the triangles must be distinct, there are 8.