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      Question

      In triangle XYZ, lines XP and PF are medians of triangle

      XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of triangle XYZ.
      A 25 cm² Correct Answer Incorrect Answer
      B 60 cm² Correct Answer Incorrect Answer
      C 35 cm² Correct Answer Incorrect Answer
      D 57 cm² Correct Answer Incorrect Answer

      Solution

      ATQ,

      A median divides a triangle into two equal-area triangles.

      So, area of triangle XZF = 2 × area of triangle XPF = 2 × 15 = 30 cm²

      Again, area of triangle XYZ = 2 × area of triangle XZF = 2 × 30 = 60 cm²

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