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    Question

    The lengths of three medians in a triangles are 21 cm,

    28 cm, 35 cm. What is the area of that traingle (in cm 2 )?
    A 512 cmยฒ Correct Answer Incorrect Answer
    B 392 cmยฒ Correct Answer Incorrect Answer
    C 648 cmยฒ Correct Answer Incorrect Answer
    D 800 cmยฒ Correct Answer Incorrect Answer

    Solution

    Here s = (a+ b+ c )/2 = (21 + 28 + 35) /2 = 84/2 = 42 cm If a, b & c are medians of any triangle , then area of the triangle = 4/3 โˆš(s(s - a)(s - b)(s - c)) = 4/3 โˆš(42(42 - 21)(42 - 28)(42 - 35)) = 4/3 โˆš(42 ร— 21 ร— 14 ร— 7) = (4/3) ร— 294 = 392 cmยฒ

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