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    Question

    The sides of a triangle measure 13 cm, 14 cm, and 15 cm.

    Find the area of the triangle.
    A 84 cm² Correct Answer Incorrect Answer
    B 90 cm² Correct Answer Incorrect Answer
    C 80 cm² Correct Answer Incorrect Answer
    D 72 cm² Correct Answer Incorrect Answer

    Solution

    Using Heron’s formula, s = (a + b + c) / 2, where s is the semi-perimeter. s = (13 + 14 + 15) / 2 = 21 cm. Area = √[s(s - a)(s - b)(s - c)] = √[21 * (21 - 13) * (21 - 14) * (21 - 15)] = √[21 * 8 * 7 * 6] = √7056 = 84 cm² Correct Answer: a) 84 cm²

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