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  (BLM) 

1+2= 03  (BAD)

1+2= 03  (DPN)

1+2= 03  (DEF)

And, the other triangles are;

AED

Therefore, there are 03+03+03+03+01= 13 triangles in the above figure.