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  (ABJ) 

1+2= 03  (AEJ)

1+2= 03  (BFJ) 

And, the other triangles are;

ABE, BEJ, GQC, IQH, ICD, EBF

Therefore, there are 03+03+03+06= 15 triangles in the above figure.