Question

The number of triangles in the given figure is

• A. $22$
• B. $24$
• C. $26$
• D. $28$

Answer 1

The correct option is B $24$


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.

$\therefore$ Total number of triangles in the figure $=8+10+6=24.$