Respuesta :
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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