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    Question

    The centroid of a triangle is located at the point (2,

    4). If one vertex is at (0, 0) and another at (4, 0), find the coordinates of the third vertex.
    A (4, 8) Correct Answer Incorrect Answer
    B (2, 12) Correct Answer Incorrect Answer
    C (0, 8) Correct Answer Incorrect Answer
    D (2, 8) Correct Answer Incorrect Answer

    Solution

    Using the centroid formula: G(x, y) = [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]. So, (2, 4) = [(0 + 4 + x3)/3, (0 + 0 + y3)/3]. Solving gives: 2 = (4 + x3)/3 x3 = 2, and 4 = y3/3 => y3 = 12. Thus, the third vertex is (2, 12). Correct answer : b) (2, 12).

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