Question

the area of equilateral triangle is 2√3 cm². Find its perimeter.​

Answer 1

Step-by-step explanation:

Hi friend,

Area of an equilateral triangle = 3/4 (side)?

2/3 = 3/4 x side?

(Side) = 2/3 4/V3

(Side) = 8

Side = /8 = 2/2 CM

Length of each Side of an equilateral triangle = 2/2 cm

Perimeter of an equilateral triangle = 3xSide = 3 x 2/2 6/2

Therefore,

Semi perimeter 1/2 x 6/2 = 3/2 CM.

HOPE IT WILL HELP

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of triangle will be used to solve this question.

Given :

The area of equilateral triangle is $2\sqrt{3} cm^{2}$ .

To Find:

We have to find the perimeter of the triangle whose are is $2\sqrt{3} cm^{2}$ .

Solution :

According to the triangle formula,we know that the are of equilateral triangle is $\frac{\sqrt{3} }{4} a^{2}$ .

In the question, the area is $\frac{2}{\sqrt{3} } cm^{2}$ .

Then we can write $\frac{\sqrt{3} }{4} a^{2}=2\sqrt{3} cm^{2}$

The value of $a^{2}$ is $a^{2}=2\sqrt{3} \times \frac{4}{\sqrt{3} }$

Then the value will be $a^{2}=2\sqrt{3} \times \frac{4}{\sqrt{3} }=8$

Here the value of $a$ .

So $a=\sqrt{8} =2\sqrt{2}$.

Now the side of the triangle is $2\sqrt{2} cm$ .

According to the  formula of  perimeter of the triangle is $3a$

Here the value of $a$ is $2\sqrt{2}$ .

$3a=3 \times 2\sqrt{2} =6$

The perimeter of the triangle is $6 cm$ .

#SPJ3