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Question 8 of 10
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?
Check all that apply.
I A. 15:2
B. 3: 215
O c. 2: 3.5
OD. 2: 15
O E. 2: 212
O F. 1: v


Question 8 Of 10 Which Of The Following Could Be The Ratio Of The Length Of The Longer Leg Of A 306090 Triangle To The Length Of Its Hypotenuse Check All That A class=

Sagot :

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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