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Thursday, 05 March 2026
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One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the ...

One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.
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  • A 8\(\sqrt{3}\)
  • B \(\frac{16}{\sqrt{3}}\)
  • C \(\sqrt{3}\)
  • D \(\frac{10}{\sqrt{3}}\)
Correct Answer: Option A
Explanation:
\(\frac{x}{4}\) = \(\frac{\tan 60}{1}\)
x = 4 tan60
= 4\(\sqrt{3}\)
BD = 2x
= 8\(\sqrt{3}\)

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