How many triangles are there in the given figure?

The logic followed here is;

(let's keep in mind the base, means how many triangles are there in the base)

1+2= 03  (AOG) 

1+2= 03  (COG)

And, the other triangles are;

AOE, ACG, BGH, HFD, AEG

Therefore, there are 03+03+05= 11 triangles in the above figur