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Which of the the following could be the ratio between the lengths of the two legs of a 30-60-90?Check all that apply.                                                                                                (A)Sqrt2:Sqrt3 (B)1:Sqrt2 (c)Sqrt2:Sqrt2 (D)2Sqrt3:Sqrt6 (E)1:Sqrt3 (F)Sqrt3:Sqrt3

Sagot :

AL2006idn
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.
Kate200468idn
[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]
View image Kate200468
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