For 30 60 90 triangles, the ratio of the side lengths is

where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)
so the ratio of the longer leg to the hypotenuse is
or
which equals
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)
so the ratio of the longer leg to the hypotenuse is
or
which equals
That is the answer 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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