How many triangles are there in the figure given below?

 

 

The logic followed here is;

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

1+2= 03  (ABE) 

1+2= 03  (HGD)

And, the other triangles are;

ABF, AGH, FHL, IBF

Therefore, there are 03+03+04= 10 triangles in the above figure.