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    Question

    In a triangle ABC, the lengths of sides AB, BC, and AC

    are 13 cm, 14 cm, and 15 cm, respectively. Find the area of the triangle.
    A 84 cm² Correct Answer Incorrect Answer
    B 90 cm² Correct Answer Incorrect Answer
    C 91 cm² Correct Answer Incorrect Answer
    D 96 cm² Correct Answer Incorrect Answer

    Solution

    Using Heron's formula: Area = √[s(s - a)(s - b)(s - c)], where s = (a + b + c) / 2 s = (13 + 14 + 15) / 2 = 21 Area = √[21(21 - 13)(21 - 14)(21 - 15)] = √[21 × 8 × 7 × 6] = √7056 = 84 cm²

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