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Question
How many triangle are there in this figure?
How many triangle are there in this figure?
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Solution
The correct option is C 9
The figure may be labelled as shown:
The simplest triangle are - AEJ and AJF i.e. 2 in number.
The triangles composed of two components each are - AGI,AIH,AEF i.e. 3 in number.
The triangles composed of three components each are - ABD,ADC i.e. 2 in number.
The triangle composed of four components is AGH i.e. 1 in number.
The triangle composed of six components is ABC. i.e .1 in number.
So total triangles are (2+3+2+1+1)=9
The figure may be labelled as shown:
The simplest triangle are - AEJ and AJF i.e. 2 in number.
The triangles composed of two components each are - AGI,AIH,AEF i.e. 3 in number.
The triangles composed of three components each are - ABD,ADC i.e. 2 in number.
The triangle composed of four components is AGH i.e. 1 in number.
The triangle composed of six components is ABC. i.e .1 in number.
So total triangles are (2+3+2+1+1)=9
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