question_answer

Count the number of triangles in the figure given.

A)  18                                         

B)  20

C)  24                                         

D)  27

Correct Answer: C

Solution :

The figure may be labelled as shown. The simplest triangles are 8 in number. The triangles composed of two components each are 10 in number. The triangles composed of four components each are 6 in number. \[\therefore \]Total number of triangles in the figure \[=\text{8}+\text{1}0+\text{6}=\text{24}\]