How many triangles are there in the given figure?

32

The logic followed here is;

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

1+2= 03  (ALB) 

1+2= 03  (LMD)

1+2= 03  (FOE)

1+2= 03  (HNG) 

We have other 12 triangles in the figure and we will combine them to find the remaining triangles;

HPG, APB, CQD, DCR, ERF, FES, GSH, ABQ

Therefore, there are 03+03+03+03+12+08= 32  triangles in the above figure