Find the number of triangles in the given figure.

19

The logic followed here is;

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

1+2= 03  (ALM) 

And, the other triangles are;

POA, QOA, POB, NOB, COQ, COR, NOD, ROD, ABD, ACD, ABC, DBC, AOB, ACO, COD, BOD

Therefore, there are 03+16= 19 triangles in the above figure.