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    Question

    The vertices of a triangle are (2, 1), (5, 4), and (8,

    1). What is the area of the triangle?
    A 12 square units Correct Answer Incorrect Answer
    B 4 square units Correct Answer Incorrect Answer
    C 9 square units Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The vertices of the triangle are (2, 1), (5, 4), and (8, 1). Using the area formula: Area = 1/2 × | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | Substituting the values: Area = 1/2 × | 2(4 - 1) + 5(1 - 1) + 8(1 - 4) | Area = 1/2 × | 6 + 0 - 24 | = 1/2 × 18 = 9 The area of the triangle is 9 square units.

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