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  (BPD) 

1+2= 03  (DPC)

And, the other triangles are;

LCP, NBP, ACB, BCD

Therefore, the total number of triangles in the above figure are 03+03+04= 10 triangles.