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    Question

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

    What is the area of the triangle?
    A 84 cm┬▓ Correct Answer Incorrect Answer
    B 90 cm┬▓ Correct Answer Incorrect Answer
    C 91 cm┬▓ Correct Answer Incorrect Answer
    D 92 cm┬▓ Correct Answer Incorrect Answer

    Solution

    We can use HeronтАЩs formula to find the area of the triangle. First, find the semi-perimeter (s): s = (13 + 14 + 15) / 2 = 21 cm Now, use the formula for area: Area = тИЪ[s(s - a)(s - b)(s - c)] Area = тИЪ[21(21 - 13)(21 - 14)(21 - 15)] Area = тИЪ[21 ├Ч 8 ├Ч 7 ├Ч 6] Area = тИЪ[7056] Area = 84 cm┬▓ Correct Option: a) 84 cm┬▓

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