Question

3.) The area of an equilateral triangle is numeri-
cally equal to its perimeter. Find its perimeter
correct to 2 decimal places.
​

Answer 1

Heyaa mate here is your answer...

Area of equilateral triangle=√3/4 a^2

Perimeter of equilateral triangle=3a

ATQ,

area = perimeter

Therefore, √3/4 a^2=3a

1/4 a^2=√3a

a=4√3

a=6.92 cm^2

Answer 2

$\huge\bold\underline{Answer}$

We know,Area of an equilateral triangle=

$\sqrt{3} {a}^{2} \div 4$

------(1)

Where a is one of the side.

Perimeter=3a.-----(2)

Equating (1) and (2)

We get,a=6.92.

Perimeter=3a=$\boxed{20.78}$

☺☺☺☺