Question

The area of an equilateral triangle is 64 root3 sq.m Find the length of each side of the triangle.​

Answer 1

Answer: 256

Step-by-step explanation:

Answer 2

Answer:

As we know ,

Area = √s (s - a)(s - b)(s - c)

Also

s = a + b + c/2 or P/2 ( P = Perimeter)

let's consider a side of the equilateral triangle as 'x'.

Therefore s = 3x/2

NOW~

it is given that √ s ( s - a ) ( s - b) ( s - c ) = 64√3

Now since we assumed a side of the equilateral triangle as 'x' , a = x, b = x, c = x

Now

Area = √ 3x/2 ( 3x/2 - x ) ( 3x/2 - x ) (3x/2 - x)

64√3 = √3x/2 × x/2 × x/2 × x/2

64√3 = 3 × x/2 × x/2 × x/2 × x/2

64√3 = x/2 × x/2 √3

64√3 = x^2/4 √3

24 = x^2

√24 = x^2

4.89 = x

THEREFORE

a = b = c = 4.89cm

HOPE IT HELPS YOU........

THANKS........