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)?

Your answer would be



You can find this by rearranging the formula



to make s the subject of the formula.

First we can see that this can be written as



Which means we can multiply a by 4 to get:



Then we can divide by √3 :



And finally square root the whole fraction:



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

I hope this helps!

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