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    Question

    In a triangle ABC, the sides are AB = 15 cm, BC = 20 cm,

    and AC = 25 cm. Find the area of the triangle using HeronтАЩs formula.
    A 150 cm┬▓ Correct Answer Incorrect Answer
    B 120 cm┬▓ Correct Answer Incorrect Answer
    C 100 cm┬▓ Correct Answer Incorrect Answer
    D 180 cm┬▓ Correct Answer Incorrect Answer

    Solution

    The semi-perimeter of the triangle is given by: s = (AB + BC + AC) / 2 s = (15 + 20 + 25) / 2 = 30 cm Now, using HeronтАЩs formula: Area = тИЪ[s(s тИТ AB)(s тИТ BC)(s тИТ AC)] Area = тИЪ[30(30 тИТ 15)(30 тИТ 20)(30 тИТ 25)] Area = тИЪ[30 ├Ч 15 ├Ч 10 ├Ч 5] Area = тИЪ22500 Area = 150 cm┬▓ Correct answer: a) 150 cm┬▓

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