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A side of a rhombus is 2cm in length. An angle of the rhombus is 60o. What is the ...

A side of a rhombus is 2cm in length. An angle of the rhombus is 60o. What is the length of the diagonal facing this angle?
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  • A 2cm
  • B 8cm
  • C 4cm
  • D 2\(\sqrt{3}\)cm
  • E 16cm
Correct Answer: Option D
Explanation:
\(\frac{x}{2}\) = sin60o = cos30o
x = 2 sino
= 2 x \(\frac{\sqrt{3}}{2}\)
= \(\sqrt{3}\)
length of the diagonal = 2 x \(\sqrt{2}\)
= 2\(\sqrt{3}\)

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