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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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