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    Question

    The lengths of three medians in a triangles are 15 cm,

    20 cm, 25 cm. What is the area of that traingle (in cm 2 )?
    A 512 cm² Correct Answer Incorrect Answer
    B 392 cm² Correct Answer Incorrect Answer
    C 648 cm² Correct Answer Incorrect Answer
    D 200 cm² Correct Answer Incorrect Answer

    Solution

    Here s = (a+ b+ c )/2 = (15 + 20 + 25) /2 = 60/2 = 30 cm If a, b & c are medians of any triangle , then area of the triangle = 4/3 √(s(s - a)(s - b)(s - c)) = 4/3 √(60(60 - 15)(60 - 20)(60 - 25)) = 4/3 √(60 × 45 × 40 × 35) = (4/3) × 150 = 200 cm²

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