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GalinKa [24]
3 years ago
11

Which of the following could be the ratio of the length of the longer leg of

History
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

\sqrt{3} :2

Explanation:

Given : 30-60-90 triangle.

To find : 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.

Solution : We have given that  30-60-90 triangle.

By the  30-60-90 triangle rule : The hypotenuse is equal to twice the length of the shorter leg,

Let the shortest side is x  then  hypotenuse is 2x and longer side is x√3.

Then the ratio of the length of the longer leg to the length of its hypotenuse.

Longer side :hypotenuse.

   x√3:   2x

     √3 : 2.

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