Mathematics
JAMB 1982
A side of a rhombus is 2cm in length. An angle of the rhombus is 60
o. 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\(\sqrt{3}\)
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