The option that could be the ratio of the length of the longer leg of a
30-60-90 triangle to the length of its hypotenuse is (√3)/2.
What is a hypotenuse?
When describing right-angled triangles, the longest side is the side that is opposite the right angle. This side is that is called the "Hypotenuse"
With the aid of a diagram, the typical length of the sides of triangles measuring 30-60-90 is presented below.
- Given that the longest side is 2x
- The larger side is √(3x); and
- The smaller side is x
We can thus surmise that the ratio of the longer leg and the hypotenuse can be computed as:
Longer side/Hypothenuse
= (√(3x))/2x
= (√3)/2
Learn more about a hypotenuse at:
https://brainly.com/question/2217700
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