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Discussion :: Analytical Reasoning

  1. Find the number of triangles in the given figure.

    2. A.
    12
    B.
    18
    C.
    22
    D.
    26

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    Answer : Option B

    Explanation :

    The figure may be labelled as shown.

    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.

    Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.

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