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    Question

    Let A, B, and C be the mid-points of sides PQ, and QR

    PR, respectively, of ΔPQR. If the area of ΔPQR is 64cm², then find the area of ΔABC.
    A 8 cm² Correct Answer Incorrect Answer
    B 24 cm² Correct Answer Incorrect Answer
    C 16 cm² Correct Answer Incorrect Answer
    D 32 cm² Correct Answer Incorrect Answer

    Solution

    By mid-point theorem, the line segment joining the mid-points of two sides of a triangle is parallel to the third side & vice-versa, Area of ΔABC = (1/4) x Area of ΔPQR 64/4 = 16 cm²

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