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    Question

    Find the coordinates of the centroid of the triangle

    with vertices A(1, 2), B(4, 6), and C(7, 8).
    A (4, 5.33) Correct Answer Incorrect Answer
    B (4, 5) Correct Answer Incorrect Answer
    C (5, 5) Correct Answer Incorrect Answer
    D (4, 6) Correct Answer Incorrect Answer

    Solution

    The centroid (G) of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by the formula: G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3). Substituting the given points A(1, 2), B(4, 6), and C(7, 8): G = ((1 + 4 + 7)/3, (2 + 6 + 8)/3), G = (12/3, 16/3), G = (4, 5.33). Answer: a) (4, 5.33).

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