Find the number of triangles in the given figure.

  • Option 1)

    18

  • Option 2)

       20   

  • Option 3)

     24

  • Option 4)

    25

  • Option 5)

     27

Answers (1)

The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e. 10 in number.

The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.

Total triangles = 8 + 10 + 6 = 24

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