How many triangles are there in the given figure?

33

THE LOGIC;

The logic followed here is;

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

=> 8 inner triangles +

1+2= 03  (ABC) 

1+2= 03  (DBC)

1+2= 03  (LNP)

1+2 = 03 (LMP)

1+2= 03  (ACQ)

1+2 = 03 (BDR)

And, the other triangles are;

 3&4, 5&6, LPS, RAD, ADQ, ABD, ADC. 

Thus, total 33 triangles.