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?
-
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})