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      Question

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

      respectively, of ΔPQR. If the area of ΔPQR is 32cm², then find the area of ΔABC.
      A 24 cm² Correct Answer Incorrect Answer
      B 16 cm² Correct Answer Incorrect Answer
      C 32 cm² Correct Answer Incorrect Answer
      D 8 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 32/4 = 8 cm²

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