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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?
  • a)
    24 cm
  • b)
    23 cm
  • c)
    25 cm
  • d)
    22 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The length of one side of a rhombus is 13 cm and one of the diagonals ...
(Side of rhombus)= (half of one diagonal)2 + (half of the other diagonal)2,
⇒ 13= (half of one diagonal)+ (10/5)2
⇒ 169 – 25 = (half of one diagonal)2
⇒ Half of one diagonal = 12
∴ Length of the other diagonal = 12 × 2 = 24cm
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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?a)24 cmb)23 cmc)25 cmd)22 cmCorrect answer is option 'A'. Can you explain this answer?
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