Respuesta :

Answer:

b

Step-by-step explanation:

In a 30-60-90 triangle with short leg length x and hypotenuse length 8. the value of x in the triangle is 8 [tex]\sqrt{3}[/tex] / 3.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the longest side and is referred to as the hypotenuse.

In a 30-60-90 triangle the ratio of the side lengths is 1 : 2 : [tex]\sqrt{3}[/tex]

To find the length of the short leg, x, you can create this proportion:

x / 8 = 1 / [tex]\sqrt{3}[/tex]

x = 8 × 1 / [tex]\sqrt{3}[/tex]

x = 8 / [tex]\sqrt{3}[/tex]

By rationalizing the denominator by multiplying the numerator and denominator by  [tex]\sqrt{3}[/tex].

x = 8 [tex]\sqrt{3}[/tex] / 3

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