How many triangles are there in the given figure?

22

The logic followed here is;

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

1+2= 03  (ABF) 

1+2= 03  (BQF)

1+2= 03  (CQE)

1+2= 03  (DCE)

And, the other triangles are;

ABQ, AFQ, CQD, EQD, BCQ, FEQ, BCF, ECF, BEF, BEC

Therefore, the total number of triangles in the above figure are 03+03+03+03+10= 22 triangles.