How many triangles are there in the given figure?

17

The logic followed here is;

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

1+2= 03  (APQ) 

1+2= 03  (ARS)

1+2= 03  (ATU)

1+2= 03  (ABC)

And, the other triangles are;

XVZ, CXS, ABY, ACY, CVU

Therefore, the total number of triangles in the above figure are 03+03+03+03+05= 17 triangles.