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  • Question
  • Find the number of triangles in the given figure?

                           Find the number of triangles in the given figure? 21 15 18 20 The simplest triangles are AKI, AIL, E


  • Options
  • A. 21
  • B. 15
  • C. 18
  • D. 20

  • Correct Answer
  • 21 

    Explanation

    Find the number of triangles in the given figure? 21 15 18 20 The simplest triangles are AKI, AIL, E

    The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
    The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 in number.
    The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
    There is only one triangle i.e. ADB composed of four components.
    Thus, there are 12 + 6 + 2 + 1 = 21 triangles in the figure.






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