tex]it's area. Find the length of each side...

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July 2022 2 53 Report

The perimeter of an equilateral triangle is
[tex] \sqrt{3 } \: times[/tex]
it's area. Find the length of each side.

nobel Mensuration,

Let the sides of the equilateral triangle as a

So it's perimeter is 3a

So its are is = 3√3a

But we know that the area of equilateral triangle as ,area = √3/4×a² [ where a is the length of each sides]

ATQ,
3√3a = √3/4 × a²
=> a = 12 units

So the lenght of each side is 12 units

That's it
Hope it helped (´°̥̥̥̥̥̥̥̥ω°̥̥̥̥̥̥̥̥｀)

nita8 Look here is it

Let the sides of the equilateral triangle as @

So it's perimeter is [email protected]

So its are is = 3√[email protected]

But we know that the area of equilateral triangle as ,area = √3/4×@² [ where @ is the length of each sides]

ATQ,
3√[email protected] = √3/4 × a²
=>@a = 12 units

lenght of each side is 12 units

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