Question

Find the length of the side of an equilateral traingle whose area is 9✓3​

Answer 1

Answer:

I think help you.

Step-by-step explanation:

Given, area of an equilateral triangle = 9√3 cm2

∴ Area of an equilateral triangle = √3/4(Side)2

⇒ √3/4 (Side)2 = 9√3

⇒ (Side)2 = 36

∴ Side = 6 cm [taking positive square root because side is always positive]

Hence, the length of an equilateral triangle is 6 cm.

Answer 2

$\bold{SOLUTION}$

Let each side of equilateral triangle = a

Area = 9√3 cm sq.

Area of equilateral triangle = √3 / 4 × side sq.

=> 9√3 = √3 /4 × a^2

=> 9 × 4 = √3 / √3 × a^2

=> 36 = 1 × a^2

Therefore, length of each side = a^2 = 36 cm.

a = 6