Respuesta :

baabaagreysheep
Your answer would be

[tex]s \: = \sqrt{ \frac{4a}{ \sqrt{3} } } [/tex]

You can find this by rearranging the formula

[tex]a \: = \frac{ \sqrt{3} }{4} {s}^{2} [/tex]

to make s the subject of the formula.

First we can see that this can be written as

[tex] \frac{ {s}^{2} \sqrt{3} }{4} [/tex]

Which means we can multiply a by 4 to get:

[tex]4a = {s}^{2} \sqrt{3} [/tex]

Then we can divide by √3 :

[tex] \frac{4a}{\sqrt{3} } = {s}^{2} [/tex]

And finally square root the whole fraction:

[tex] \sqrt{ \frac{4a}{ \sqrt{3} } } = s[/tex]

So this formula represents the side of an equilateral triangle, with 'a' being the area.

I hope this helps!

The formula represents the length of an equilateral triangle's side of the triangle's area is

[tex]$s=\sqrt{\frac{4 A}{\sqrt{3}}}$[/tex]

Length of an equilateral triangle's side

You can find this by rearranging the formula

[tex]$A=\frac{\sqrt{3}}{4} s^{2}$[/tex]

to make s the subject of the formula.

First, we can see that this can be written as

[tex]$\frac{s^{2} \sqrt{3}}{4}$[/tex]

This means we can multiply a by 4 to get:

[tex]$4 A=s^{2} \sqrt{3}$[/tex]

Then we can divide by [tex]$\sqrt{3}$[/tex] :

[tex]$\frac{4 A}{\sqrt{3}}=s^{2}$[/tex]

And finally square root the whole fraction:

[tex]$\sqrt{\frac{4 A}{\sqrt{3}}}=s$[/tex]

So this formula represents the side of an equilateral triangle, with 'A' being the area.

To learn more about the length of an equilateral triangle's side

https://brainly.com/question/10689913

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