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One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm...

Mathematics
JAMB 1991
One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.
  • A. 8\(\sqrt{3}\)
  • B. \(\frac{16}{\sqrt{3}}\)
  • C. \(\sqrt{3}\)
  • D. \(\frac{10}{\sqrt{3}}\)
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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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