Question

If area of equilateral triangle is 4√3m square then its perimeter is

Answer 1

Answer:

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Answer 2

Answer

The perimeter of given triangle is 12m

Solution

Given that

Area of triangle = 4√3 m²

We know that formula for area of triangle is.(√3)a²/4 . here a refers to the side of triangle .

So,

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

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

$= > {a}^{2} = 16$

$= > a = 4$

So , side of equilateral triangle is 4m

Now ,

Formula for perimeter of triangle is= 3×a

Perimeter = 3×4

So perimeter is 12m