How many triangles are there 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  (APB) 

1+2= 03  (LPM)

1+2= 03  (NPO)

1+2= 03  (RPQ)

1+2= 03  (APS)  

And, the other triangles are;

PTU, BPW, AWB, BAS

Therefore, there are 03+03+03+03+03+04= 19  triangles in the above figure.