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The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus?
  • a)
    13 cm
  • b)
    26 cm
  • c)
    36 cm
  • d)
    39 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The diagonals of a rhombus are of length 20 cm and 48 cm. What is the ...

Let AC = 48 cm and BD = 20 cm
In a rhombus, diagonals bisect each other at right angles
∴ AO = 48/2 = 24 cm and BO = 20/2 = 10 cm
In triangle AOB
AB2 = AO2 + BO2 [∵ Pythagoras theorem]
⇒ 242 + 102
⇒ 676
∴ AB = 26 cm
∴ Side of the rhombus is 26 cm
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The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus?a)13 cmb)26 cmc)36 cmd)39 cmCorrect answer is option 'B'. Can you explain this answer?
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