Find the number of triangles in the given figure.

Step-by-step solution

We may label the figure as shown. The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number. The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e. 10 in number. The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and CLG i.e. 6 in number. ∴ Total number of trianngles in the figure = 8 + 10 + 6 = 24. Hence, option B is correct.