How many triangles are there in the following 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  (ACS) 

1+2= 03  (BDT)

1+2= 03  (LQR) 

1+2= 03  (MST)

And, the other triangles are;

AOQ, RPB, ACQ, RBD, LOM, LPM, AMU, BMU, LCV, LDV, LCD, MAB

Therefore, there are 03+03+03+03+12= 24 triangles in the above figure.