How many triangles are there in the figure ? 

35

Total number of figures in bigger triangles ABC, 

Trick = 1 + 2 + 3 + 4+ 5 + 6 = 21

Total number of triangles in smaller triangle BDH= 1+ 2+ 3 + 4 = 10 

Total number of triangles in the figure = Total number of figures in bigger triangles ABC + Total number of triangles in smaller triangle BDH + triangle ( AED + AGD + ABD + AHD ) 

  = 21 + 10 + 4 = 35