With eight equidistant points on a circle—A, B, C, D, E, F, G, and H—there are 4 unique diameters formed by connecting opposite points.

Using the property that a right-angled triangle is formed when the diameter of a circle is one side and the opposite vertex lies on the circle, we can form 6 unique right-angled triangles with each diameter. This is because there are 6 remaining points on the circle that can serve as the right-angle vertex.

Since each diameter allows for 6 distinct right-angled triangles, the total number of right-angled triangles that can be drawn is:

4 diameters x 6 triangles per diameter = 24