Find the number of triangles in the given figure.

  • Option 1)

    15

  • Option 2)

     10              

  • Option 3)

    12           

  • Option 4)

     14

  • Option 5)

     8        

Answers (1)

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, EGI i.e. 4 in number.

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

There is only one triangle AHE composed of four components.

So, total = 6 + 4 + 3 + 1 = 14 

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