Question

An inscribed polygon is formed with one of its side as diameter of the circle. Can this polygon by a equilateral polygon? Answer in Yes/No.

Answer 1

The vertices of an inscribed polygon lie on a circle.
Given: One of the sides of the polygon is the diameter of the circle.

The largest chord of a circle is its diameter.
Hence, one side of the polygon will be the largest compared to its other sides.

For an equilateral polygon, all the sides have same length.
Hence, this is not possible.