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    Question

    The lengths of three medians in a triangles are 30 cm,

    40 cm, 50 cm. What is the area of that traingle (in cm 2 )?
    A 512 cm┬▓ Correct Answer Incorrect Answer
    B 392 cm┬▓ Correct Answer Incorrect Answer
    C 648 cm┬▓ Correct Answer Incorrect Answer
    D 800 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Here s = (a+ b+ c )/2 = (30 + 40 + 50) /2 = 120/2 = 60 cm If a, b & c are medians of any triangle , then area of the triangle = 4/3 тИЪ(s(s - a)(s - b)(s - c)) = 4/3 тИЪ(60(60 - 30)(60 - 40)(60 - 50)) = 4/3 тИЪ(60 ├Ч 30 ├Ч 20 ├Ч 10) = (4/3) ├Ч 600 = 800 cm┬▓

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