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Oksanka [162]
3 years ago
11

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

Mathematics
1 answer:
yan [13]3 years ago
6 0
For 30 60 90 triangles, the ratio of the side lengths is
\frac{1}{2} : \frac{ \sqrt{3} }{2} :1
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 <span>\frac{ \sqrt{3} }{2} :1
or
</span>\frac{ \frac{ \sqrt{3} }{2} }{1}
<span>which equals </span>\frac{ \sqrt{3} }{2}
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