Find the number of triangles in the given figure.

32

The logic followed here is;

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

1+2= 03  (LPQ) 

1+2= 03  (LMN)

1+2= 03  (POQ)

1+2= 03  (PRS) 

1+2= 03  (PMN)

1+2= 03  (ROS)

And, the other triangles are;

AML, BNL, DNP, CMP, POM, QON, SON, ROM, LPM, LPN, POL, QOL, ROP, SOP

Therefore, there are 03+03+03+03+03+03+14= 32 triangles in the above figure.