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

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}})
Correct Answer: Option A
Explanation

(frac{x}{4}) = (frac{tan 60}{1})
x = 4 tan60
= 4(sqrt{3})
BD = 2x
= 8(sqrt{3})