How many triangles are there in the given figure?

26

The logic followed here is;

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

1+2= 03  (LBA) 

1+2= 03  (MAC)

1+2= 03  (OCD) 

1+2= 03  (NDB)

1+2= 03  (DUV) 

1+2= 03  (DBC)

1+2= 03  (AST)

1+2= 03  (ABC)

And, the other triangles are;

ADB & ADC

Therefore, there are 03+03+03+03+03+03+03+03+02= 26 triangles in the above figure.