Answer :
This is worth remembering:
In a 30-60-right triangle,
-- the side opposite the 30 is 1/2 the hypotenuse
-- the side opposite the 60 is (1/2 the hypotenuse) times (square root of 3).
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I believe Choice-'E' is the only one you could make with the above rule.
In a 30-60-right triangle,
-- the side opposite the 30 is 1/2 the hypotenuse
-- the side opposite the 60 is (1/2 the hypotenuse) times (square root of 3).
====================================
I believe Choice-'E' is the only one you could make with the above rule.
[tex] \frac{a}{a \sqrt{3} } = \frac{1}{ \sqrt{3} } \ \ \ \Rightarrow\ \ \ Ans.\ E\\\\\frac{2a}{a \sqrt{3} } = \frac{2}{ \sqrt{3} }=\frac{2\cdot \sqrt{2} }{ \sqrt{3}\cdot \sqrt{2} }=\frac{2 \sqrt{2} }{ \sqrt{6} } \neq \frac{2 \sqrt{3} }{ \sqrt{6} } \\\\ \frac{a}{2a } = \frac{1}{ 2 }[/tex]