Mathematics
NULL
Medium
Question
In a rhombus of area 144 cm², one diagonal is twice as long as the other. The lengths of its diagonals are _________?
A
24 cm, 48 cm
B
12 cm, 24 cm
✓ Official correct answer
C
6√2 cm, 12√2 cm
D
6 cm, 12 cm
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A
24 cm, 48 cm
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B
12 cm, 24 cm
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C
6√2 cm, 12√2 cm
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D
6 cm, 12 cm
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Explanation
(1/2)×d₁×d₂ = 144 and d₂ = 2d₁ ⇒ d₁² = 144 ⇒ d₁ = 12, d₂ = 24 cm.