Question

the area of an equilateral triangle is 36√3 cm² calculate its perimeter​

Answer 1

We know that, Equilateral triangle is a triangle which has its all sides equal in magnitude...

So, you must know that the formula of area for an equilateral triangle is :

[root (3)÷2] × (square of any single side of triangle)

So applying the formula you obtain that side of triangle comes to be 12 centimetres.

Now perimeter of any triangles means that you have to simply find the length of the boundary.

I mean to say that you have to add up all the sides of triangle and once you are done with that you are the winner.

Perimeter of triangle = ( 12 + 12 + 12 ) cm

= 36 cm.

And one more thing that...

Never ever forget to put the unit.

Hope it helps you successfully...

Please mark me as the brainliest...

Answer 2

Given that,

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• The area of an equilateral triangle is 36√3 cm.

As we know that,

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$\star\ \boxed{\sf{\pink{Area\: of \ equilateral \ \triangle = \dfrac{\sqrt{3}}{\:4} (a)^2 cm}}}$

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• Here, a is each side of the equilateral triangle.

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$:\implies\sf \dfrac{\sqrt{3}}{4} (a)^2 = 36\sqrt{3}\\\\\\:\implies\sf a = \dfrac{ 36\:\cancel{\sqrt{3}} \times 4}{\cancel{\sqrt{3}}}\\\\\\:\implies\sf a = 36 \times 4\\\\\\:\implies\sf a = \sqrt{6 \times 6 \times 2 \times 2} \\\\\\:\implies{\underline{\boxed{\frak{\pink{ a = 12 \ cm}}}}}\:\bigstar$

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» Now, finding perimeter of the triangle:

$:\implies\sf Perimeter = (Side + Side + Side)\\\\\\:\implies\sf Perimeter = 12 + 12 + 12 \\\\\\\:\implies{\underline{\boxed{\bf{\blue{Perimeter = 36\: cm}}}}}\:\bigstar$

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⠀⠀⠀$\therefore\:{\underline{\sf{Hence, \ perimeter \ of \ equilateral \ \triangle \ is \ \bf{ 36 \ cm}.}}}$⠀⠀⠀

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