Question

Find the side of an equialateral triangle if it's area is 9√3 cm2​

Answer 1

Explanation:

We know that the area of an equilateral triangle of side a cm is

• 
  `\rm \: Equilateral \: Triangle = \cfrac{ √(3) }{4} {a}^(2) \: cm`

Let a cm here be 9√3 then we could get our solution.

`\rm\implies \rm 9 √(3) = \cfrac{ √(3) }{4} \: a {}^(2)`

`\implies \rm \: \cfrac{ √(3) }{4} {a}^(2) = 9 √(3)`

`\implies \rm \: a {}^(2) = 36`

`\implies \rm \: a = √(36) = √(6 * 6)`

`\implies \rm \: a = 6 \: cm`

Thus, the side of the equilateral triangle is 6 cm.