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

Answers

Answer 1

Answer:

The ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is option √3 : 2.

How did we arrive at the value?

In a 30-60-90 triangle, the longer leg is opposite the 60-degree angle and the hypotenuse is opposite the 90-degree angle.

Make x the length of the shorter leg, then the longer leg is x√3 and the hypotenuse is 2x.

So the ratio of the longer leg to the hypotenuse is:

x√3 : 2x

Simplifying, we get:

√3 : 2

Therefore, the ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is √3 : 2.

So the correct answer is (A).

learn more about hypotenuse:brainly.com/question/2217700

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~JZ
Hope it helps

your answer would be 4/10
I multiplied the numerator and the denominator by 2
and if you cancelled 4/10
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