How many triangles are there in the given figure ?

22

The logic followed here is;

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

1+2= 03  (ANB) 

1+2= 03  (BOC)

1+2= 03  (RNS) 

1+2= 03  (TOU)

1+2= 03  (BST)

And, the other triangles are;

APR, CUQ, ADN, BEN, BEO, CFO, BNO

Therefore, there are 03+03+03+03+03+07= 22 triangles in the above figure.