The smallest diagonal of a right hexagon is equal to c, find the side of the hexagon and its larger diagonal.

From the geometry program, we know the properties of a regular hexagon, one of which is that the smaller diagonal is √3 times its side.

Let us determine what the side of the polygon will be if it is known exactly from the condition of our problem that the length of its smaller diagonal is equal to:

s: √3 = s√3 / 3.

Let us determine what the large diagonal will equal if it is known that the large diagonal of such a polygon is equal, based on the properties, to its two sides:

s√3 / 3 * 2 = 2s√3 / 3.

Answer: 2s√3 / 3.