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    Question

    What is the number of triangles that can be formed whose

    vertices are at the vertices of an octagon but have only one side common with that of the octagon?
    A 16 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 48 Correct Answer Incorrect Answer

    Solution

    There are 2 vertices that will be used for base side. Another 2 vertices which are adjacent to each vertices taken will make common side, so we have to minus these ae well. Therefore, The number of triangles formed with only one side common with octagon is 8× (8-2 -2) = 32

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