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})