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  (QOB) 

1+2= 03  (BDQ)

And, the other triangles are;

AOB, ABD, ACD, BOD, QOD, APB

Therefore, there are 03+03+06= 12 triangles in the above figure.