How many triangle are there in the given figure?

The logic followed here is;

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

1+2= 03  (AEC) 

1+2= 03  (BFD)

And, the other triangles are;

APR, AOC, ACD, ABD, RDQ, COD, AER, FDR

Therefore, there are 03+03+08= 14 triangles in the above figure.