How many triangles are there in the following figure.
A) 6
B) 10
C) 11
D) 12
View Answer
D) 12Explanation :
The figure may be labelled as shown below:
The simplest triangles are ABE, BEF, EFC, CDE and AED i.e. 5 in number.
The triangles composed of two components each are ABF, BCE, ACE and ABD i.e. 4 in number.
The triangles composed of three components each are AFC and BCD i.e. 2 in number.
There is only one triangle ABC composed of five components
Thus, there are 5 + 4 + 2 + 1 = 12 triangles in the figure.
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