1. ## Hexagons!!!

I have been given a problem and it is really difficult no one in my family can help me and i am really struggling!!!! please help me if you can!!!!

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 = (square root sign) 85?

I tried takleing this question by drawing the hexagon with the diagonals drawn through it which creats an equalateral triangle! But the 90 degrees doesn't look right at angles ABC and CDE! I also cont work out how to use the diagonal in how to work out the perimeter!!!

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

I don't understand what this question is asking me to do and it is really bugging me not being able to complete these questions

If you can help please do so becuase ireally need it!!!!!!!!!!!!
Thanks
ESG

2. Originally Posted by ESG
I have been given a problem and it is really difficult no one in my family can help me and i am really struggling!!!! please help me if you can!!!!

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
...
Hello,

this problem was done recently. Please look here:

Greetings

EB

3. Originally Posted by earboth
Hello,

this problem was done recently. Please look here: