Find the number of triangles in the given figure.

  • Option 1)

    22

  • Option 2)

    25

  • Option 3)

     26     

  • Option 4)

     28

  • Option 5)

    24 

Answers (1)

The simplest triangles are AGH, GFO, LFO, DJK, EKP, PEL and IMN i.e. 7 in number.

The triangles composed of two components each are GFL, KEL, AMO, NDP, BHN, CMJ, NEJ and HFM i.e. 8 in number.

The triangles composed of three components each are IOE, IFP, BIF and CEI i.e. 4 in number.

The triangles composed of four components each are ANE, DMF i.e. 2 in number.

The triangles composed of five components each are FCK, BGE and ADL i.e. 3 in number.

The triangles composed of six components each are BPE, COE, DHF, AJE i.e. 4 in number.

Total number of triangles = 7 + 8 + 4 + 2 + 3 + 4 = 28

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