Find the number of triangles in the given figure.

18

The logic followed here is;

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

1+2= 03  (QOP) 

And, the other triangles are;

QPE, ADE, LON, MTP, QOU, LDU, MQE, LVR, MSW, BDV, WEC, LON, MTP, ANP, ALM

Therefore, there are 03+15= 18 triangles in the above figure.