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    Question

    The diagonals of a parallelogram are 24 cm and 10 cm,

    and the angle between them is 60°. Find its area.
    A 60√3 cm² Correct Answer Incorrect Answer
    B 20√2 cm² Correct Answer Incorrect Answer
    C 30√2 cm² Correct Answer Incorrect Answer
    D 50√3 cm² Correct Answer Incorrect Answer

    Solution

    Area of a parallelogram in terms of diagonals d₁, d₂ and included angle θ: Area = (1/2) × d₁ × d₂ × sinθ Here d₁ = 24, d₂ = 10, θ = 60° Area = (1/2)×24×10×sin60° = 12×10×(√3/2) = 120×(√3/2) = 60√3 cm².

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