The length of one side of a rhombus is 13 cm and one of the diagonals is 10 cm. What is the length of the other diagonal?

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RRB ALP Previous Paper 6 (Held On: 13 Aug 2018 Shift 1)
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  1. 24 cm
  2. 23 cm
  3. 25 cm
  4. 22 cm

Answer (Detailed Solution Below)

Option 1 : 24 cm
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Detailed Solution

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We know that,

(Side of rhombus)2 = (half of one diagonal)2 + (half of the other diagonal)2

⇒ 132 = (10/2)+ (half of other diagonal)2

⇒ 169 – 25 = (half of other diagonal)2

⇒ Half of other diagonal = 12

∴ Length of the other diagonal = 12 × 2 = 24cm

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