Category : 6th Class
In this chapter, problems are based upon numbers of lines, triangles, squares and circles in a complex figure.
How many triangles are there in the following figure?
(a) 14 (b) 12 (c) 10 (d) 8
The figure may be labelled as shown below:
The triangles formed of 1 component are ABE, AEF, EFC, CED and BED.
The triangles formed of two components are ABF, ACE, BCE and ABD.
The triangles formed of three components are BFC and ACD.
There is only one triangle ABC formed of five components.
Thus, there are 5+4+2+1 =12 triangles in the figure.
Hence, the correct option is (b).
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