Question

the length of each side of an equilateral triangle having an area of 9√3 then find its side​

Answer 1

Answer:

6 cm is the length of each side of triangle.

Step-by-step explanation:

Area=√3/4 x (side)^2

=>9√3=√3/4 x side^2

=>side=6

Answer 2

$\huge\purple{Required \: Answer :}$

Given :

• Area of An Equilateral Triangle = 9√3

To Find :

• Length of each side = ?

Formula :

• $area = \frac{ \sqrt{3} }{4} \times {(side)}^{2}$

Solution :

Area of Equilateral Triangle = 9√3

$area = \frac{ \sqrt{3} }{4} \times {side}^{2} \\ 9 \sqrt{3} = \frac{ \sqrt{3} }{4} \times {side}^{2} \\ \: \: \: \: \: \: \: {side}^{2} = \frac{9 \sqrt{3} \times 4 }{ \sqrt{3} } \\ {side}^{2} = 9 \times 4 \\ {side}^{2} = 36 \: \: \: \: \: \\ \: side = \sqrt{36} \\ side = 6 \: \: \: \: \:$

Length of Each Side of Equilateral Triangle is 6 units.

$\huge\sf\implies{Thanks : ❤}$