Question

    The corresponding medians of two similar triangles are

    12 cm and 15 cm. If the area of the first triangle is 288 cm, then find the area of the second triangle
    A 425cm² Correct Answer Incorrect Answer
    B 545cm² Correct Answer Incorrect Answer
    C 450cm² Correct Answer Incorrect Answer
    D 225cm² 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 × 225 = x × 144 x = 450cm²

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