Find the number of triangles in the given figure.

24

The logic followed here is;

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

1+2= 03  (ADE) 

1+2= 03  (ABC)

1+2= 03  (COA)

1+2= 03  (BOA) 

1+2= 03  (NOP)

1+2= 03  (BOC)

And, the other triangles are;

RNB, SPC, AOL, AOM, BMA, CLA

Therefore, there are 03+03+03+03+03+03+06= 24 triangles in the above figure.