Question
ABCDEF is a regular hexagon. Show that
(i) 
(ii) 
where O is centre of the hexagon.
Solution
∵ O is centrc of regular hexagon
∵ O is the mid-point of each of the diagonals AD. BE. CF
In ∆ ABE, O is mid-point of BE
...(1)
In 
O is the mid-point of FC
...(2)
Also, 
...(3)
as O is the mid-point of AD.
Adding (1), (2) and (3), we get,
