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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{x}{2}\) = sin60o = cos30o
x = 2 sino
= 2 x \(\frac{\sqrt{3}}{2}\)
= \(\sqrt{3}\)
length of the diagonal = 2 x \(\sqrt{2}\)
= 2\(\sqrt{3}\)
Source: Myschool Past Questions Archive (Record #32542)