ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!


    Question

    A triangle ABC is inscribed in a circle with radius 10

    cm. The sides of the triangle are AB = 12 cm, BC = 16 cm, and AC = 20 cm. Find the area of the triangle.
    A Area = 96 cm┬▓ Correct Answer Incorrect Answer
    B Area = 99 cm┬▓ Correct Answer Incorrect Answer
    C Area = 100 cm┬▓ Correct Answer Incorrect Answer
    D Area = 100 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Area of the triangle using HeronтАЩs formula: Semi-perimeter, s = (AB + BC + AC) / 2 = (12 + 16 + 20) / 2 = 24 cm. Area = тИЪ[s(s - AB)(s - BC)(s - AC)] Area = тИЪ[24(24 - 12)(24 - 16)(24 - 20)] Area = тИЪ[24 ├Ч 12 ├Ч 8 ├Ч 4] Area = тИЪ9216 = 96 cm┬▓ Correct Option: a

    Practice Next
    More Geometry Questions
    ask-question