Question

Number of triangles in the given figure is

• A. $27$
• B. $25$
• C. $32$
• D. $29$

Answer 1

The correct option is D $29$


The simplest triangles are AHL, LHG, GHM, HMB, GMF, BMF, BIF, CIF, FNC, CNJ, FNE, NEJ, EKJ and JKD i.e. $14$ in number.
The triangles composed of two components each are AGH, BHG, HBF, BFG, HFG, BCF, CJF, CJE, JEF, CFE and JED i.e. $11$ in number.
The triangles composed of four components each are ABG, CBG, BCE and CED i.e. $4$ in number.
Total number of triangles in the given figure $=14+11+4=29$