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Find the number of triangles in the given figure.

Correct Answer: 14

Explanation:

The figure may be labelled as shown.



The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.


The triangles composed of two components each are ABG, CFE, ACJ and EGI i.e. 4 in number.


The triangles composed of three components each are ACE, AGE and CFD i.e. 3 in number.


There is only one triangle i.e. AHE composed of four components.


Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.


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