Question
In a parallelogram, the lengths of the diagonals are 24
cm and 10 cm, and the angle between the diagonals is 30°. Find the area of the parallelogram.Solution
Area of a parallelogram in terms of diagonals d₁, d₂ and angle θ between them: Area = (1/2) d₁ d₂ sinθ Here d₁ = 24, d₂ = 10, θ = 30°. Area = (1/2) × 24 × 10 × sin 30° = 12 × 10 × (1/2) = 60 cm²
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