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    Question

    The corresponding medians of two similar triangles are

    16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second triangle.
    A 325cm² Correct Answer Incorrect Answer
    B 425cm² Correct Answer Incorrect Answer
    C 350cm² Correct Answer Incorrect Answer
    D 450cm² Correct Answer Incorrect Answer

    Solution

    Let the area of the second triangle = x cm² Then (Area of the first triangle) × (median of the second triangle) ² = (area of the second triangle) × (median of the first triangle) ² 288 × 400 = x × 256 x = 450cm²

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