I ran into this idea of "Pythagorean Polygons" on a problem from Project Euler, and I thought of an interesting question.
A "Pythagorean Polygon" is defined as a polygon that is cyclic and has its longest side be the diameter of a circle. It also always has integer sides.
Now, is there a way to construct a such polygon with any number of sides, where the number of sides is greater than $3$? Obviously $3$ is true, and $4$ you can do by reflecting a right triangle so that we have an isosceles trapezoid, but I'm not sure what else I can do from here.