How many triangles are there in the given figure?

First of all take one block and count the number of triangles:
The triangles are : $\Delta$ IAB; $\Delta$ IJB; $\Delta$ IAH; $\Delta$ IHJ; $\Delta \mathrm{AHB} ; \Delta \mathrm{ABJ} ; \Delta \mathrm{AHJ} ; \Delta \mathrm{BJH} ;$ There are four such blocks. Therefore, the number of simple triangles $=4 \times 8=32$ Now, count the composite triangles: △ JAC; $\triangle$ JAG; $\triangle$ JCE; $\triangle$ JGE; $\triangle \mathrm{BHD} ; \triangle \mathrm{DBF} ; \triangle \mathrm{FDH} ; \triangle \mathrm{HBF} ;$ △ AGE; $\triangle$ CEG; $\triangle$ CAE; $\triangle$ AGC; Thus, there are more than 40 triangles.