Question

What is an area
of equilateral triangle
whose side is 2√3​

Answer 1

the area of equilateral triangle=

$\sqrt{3} \div 2 \times 2 \sqrt{3} ^{2} = 3 \sqrt{3}$

Answer 2

☯ Given :

Side of equilateral triangle is 2√3 units.

$\rule{200}{1}$

☯ To Find :

We have to find the area of equilateral triangle.

$\rule{200}{1}$

☯ Solution :

We know the formula to find the area of equilateral triangle.

$\Large{\implies{\boxed{\boxed{\sf{Area = \frac{\sqrt{3}}{4} \times a^2}}}}}$

Where,

• a is the side of equilateral triangle.

$\begin{lgathered}\bf{\dag \:Put \: value \: in \: above \: formula} \\ \\ \sf{\rightarrow Area = \frac{\sqrt{3}}{4} \times (2\sqrt{3})^2} \\ \\ \sf{\rightarrow Area = \frac{\sqrt{3}}{\cancel{4}} \times \cancel{4}(3)} \\ \\ \sf{\rightarrow Area = 3\sqrt{3}} \\ \\ \bf{We \: know \: that,} \\ \\ \Large{\star{\boxed{\sf{\sqrt{3} = 1.732}}}} \\ \\ \sf{\rightarrow Area = 3(1.732)} \\ \\ \sf{\rightarrow Area = 5.196} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Area = 5.2 \: unit^2}}}}}\end{lgathered}$