SOLUTION: The midpoints of a hexagon are connected to form a smaller hexagon. What is the ratio of the perimeter of the small hexagon to the perimeter of the large hexagon.

Algebra ->  Triangles -> SOLUTION: The midpoints of a hexagon are connected to form a smaller hexagon. What is the ratio of the perimeter of the small hexagon to the perimeter of the large hexagon.      Log On


   

Question 1175876: The midpoints of a hexagon are connected to form a smaller hexagon. What is the ratio of the perimeter of the small hexagon to the perimeter of the large hexagon.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of the large hexagon is 6 * 2s = 12s.

The perimeter of the small hexagon is 6sqrt(3)s.

ratio = 6sqrt%283%29%2F12+=+sqrt%283%29%2F2