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The shorter leg of a 30-60-90 triangle is 6. What is the length of the other leg?
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30(a-5) a=5
?
short leg is 6, hypotenuse is 12 and other leg is \[\sqrt{12^2-6^2}\]
i get \[\sqrt{108}\]
maybe im not sure!!! :(
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otherwise known as \[6\sqrt{3}\]
my ans. is 5?
no
the answer is \[6\sqrt{3}\]
if you are using trig you know that \[tan(30)=\frac{6}{x}=\frac{1}{\sqrt{3}}\]
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making \[x=6\sqrt{3}\]
ratios of 30-60-90 triangle are hypotenuse is 1, short side is 1/2 and long side is \[\frac{\sqrt{3}}{2}\]
here your short side is , so long side is \[6\sqrt{3}\]
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