Mathematics: The area of an equilateral triangle is given by the formula a=√3/4(s)^2. which formula represents the length of an equilateral triangle s side (s) in terms of the triangle s area (a)?

The area of an equilateral triangle is given by

Ответ:

ijeomaokoro9488

13.03.2022

Your answer would be

$s \: = \sqrt{ \frac{4a}{ \sqrt{3} } }$

You can find this by rearranging the formula

$a \: = \frac{ \sqrt{3} }{4} {s}^{2}$

to make s the subject of the formula.

First we can see that this can be written as

$\frac{ {s}^{2} \sqrt{3} }{4}$

Which means we can multiply a by 4 to get:

$4a = {s}^{2} \sqrt{3}$

Then we can divide by √3 :

$\frac{4a}{\sqrt{3} } = {s}^{2}$

And finally square root the whole fraction:

$\sqrt{ \frac{4a}{ \sqrt{3} } } = s$

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

I hope this helps!

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The area of an equilateral triangle is given by the formula a=√3/4(s)^2. which formula represents the length of an equilateral triangle's side (s) in terms of the triangle's area (a)?

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