How many triangles 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  (DOB) 

1+2= 03  (AOB)

And, the other triangles are;

COD, AOC, AOP, ACB, CBD, RDB, APR, AOP

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