How many triangles are present in the given figure?

27

The logic followed here is;

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

1+2= 03  (MSD) 

1+2= 03  (LRB)

1+3= 03  (BED)

And, the other triangles are;

LRP, PSM, DSQ, QRB, PRQ, PSQ, LPB, QPB, PQM, DQM, PQD, PDM, LBQ, LPQ, BPE, DPE, BOP, BED

Therefore, there are 03+03+03+18= 27 triangles in the above figure.