ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

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SSC CGL Previous Paper 6 (Held On: 8 August 2017 Shift 3)
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  1. 14
  2. 14√2
  3. 7
  4. 7√2

Answer (Detailed Solution Below)

Option 1 : 14
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Detailed Solution

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By parallelogram Formula of diagonals,

AC2 + BD2 = 2 (AB2 + BC2)

⇒ 82 + BD2 = 2 (72 + 92)

⇒ 64 + BD2 = 2 (49 + 81) = 260

⇒ BD2 = 260 – 64 = 196

⇒ BD = 14 cm

∴ The length of other diagonal = 14 cm

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