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In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are?

24 cm, 48 cm
12 cm, 24 cm
6 √2 cm, 12√2 cm
6 cm, 12 cm

Correct Answer: 12 cm, 24 cm

Explanation:

Area of rhombus = (d₁ x d₂) / 2
⇒ (d x 2d ) / 2 = 144
⇒ d² = 144
⇒ d = 12
∴ Length of diagonal = 12 cm, 24 cm

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