Find the number of triangles in the given figure.

  • Option 1)

    20

  • Option 2)

     18     

  • Option 3)

     22  

  • Option 4)

    26

  • Option 5)

    12                     B] 18                C] 22                D] 26

Answers (1)

The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE i.e. 8 in number.

The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE i.e. 5 in number.

The triangles composed of three components each are FHE, GCE and BED i.e. 3 in number.

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

There is only one triangle i.e. AFD composed of nine components.

So, total triangles = 8 + 5 + 3 + 1 + 1 = 18

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