Originally Posted by **Chuck_3000**

I am stuck with this question, can anyone help?

Hexagon ABCDEF has the following properties:

i. diagonals AC, CE and EA are all the same length

ii. angles ABC and CDE are both 90 degrees

iii. all the sides of the hexagon have lengths which are different integers

a) What is the minimum perimeter of ABCDEF if AC = √85 (sqr root of 85)

b) What is the smallest length of AC for which ABCDEF has all these properties? What is the minimum perimeter in this case?

Any help would be much appreciated

thanks