find the number of triangles in the given figure.

Step-by-step solution

We may lebel the figure as shown. The simplest triangles are BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK and KNJ i.e. 10 in number. The triangles composed of three components each are FAK and HKD i.e. 2 in number. The triangles composed of four components each are BEN, CMI, GLJ and FHK i.e. 4 in number. The triangles composed of eight components each are BAJ and CLD i.e. 2 in number. Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure. Hence, option C is correct.