which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse ?

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Answer:

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The simplest diagram of a 30-60-90 triangle indicates leg lengths of 1 and √3 and hypotenuse 2.  Thus, the desired ratio is √3/2.  This is the sine of 60° and also the cosine of 30°

Answer: 3\3 :6 , \3:2 and 3 :2/3

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