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In a parallelogram, the lengths of the two adjacent sides are 12 cm and 14 cm respectively. If the length of one diagonal is 16 cm, find the length of the other diagonal.1). 14.6 cm2). 20.6 cm3). 18.3 cm4). 25.2 cm |
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Answer» In a parallelogram, the sum of the squares of the DIAGONALS = 2 × (The sum of the squares of the two ADJACENT sides) = D12 + D22 = 2(a2 + b2) LET the length of the second diagonal is ‘x’ cm. ∴ 162 + x2 = 2(122 + 142) ⇒ 256 + x2 = 2(144 + 196) ⇒ x2 = 680 – 256 = 424 ⇒ x = √(424) = 20.6 cm ∴ The length of the other diagonal is 20.6 cm. |
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