How many triangles are there in the following 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  (ABE) 

1+2= 03  (HBE)

1+2= 03  (DHE) 

1+2= 03  (DFC)

1+2= 03  (BCD)

1+2= 03  (CIJ)

And, the other triangles are;

BED, ABH, AHE, EHF, DHF, BED, ECD, BCE

Therefore, there are 03+03+03+03+03+03+08= 26 triangles in the above figure.