question_answer

Identify the number of triangles in the given figure.

A)  23                                         

B)  27

C)  29                         

D)         31

Correct Answer: C

Solution :

The figure may be labelled as shown. 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.