Find the number of triangles in the given figure.

Step-by-step solution

The figure may be labelled as shown. The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number. The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number. The triangles composed of three components each are BCD, CDE, BED, and BCE i.e. 4 in number. Thus, there are 8 + 5 + 4 = 17 triangles in the figure. Hence, option C is correct.