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    Question

    Find the area of triangle formed by the points A(1, 2),

    B(4, 6), and C(5, 2).
    A 10 sq. units Correct Answer Incorrect Answer
    B 8 sq. units Correct Answer Incorrect Answer
    C 6 sq. units Correct Answer Incorrect Answer
    D 7 sq. units Correct Answer Incorrect Answer

    Solution

    Area = (1/2) | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | = (1/2) | 1(6 - 2) + 4(2 - 2) + 5(2 - 6) | = (1/2) | 1(4) + 0 + 5(-4) | = (1/2) | 4 - 20 | = (1/2) × 16 = 8 sq. units.

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