The following regular hexagon

Question

A ____________B
/ \
/ \
/ \
F\ /C
\ /
E\____________/D
has two diagonals going through it, FD and CE. These two lines form 3 triangles. We know that the area of the hexagon is 1. What is the area of those 3 triangles?

Answer 1

.............A ____________B
.............../..................\
............../....................\
............./......................\
...........F\....................../C
..............\.................../
.............E\___________/D
Here's the figure again.