Question

Calculate the area of equilateral triangle which side 2√3. *

Answer 1

Area of equilateral triangle = √3a²/4 = √3 × 4×3/4

= 3√3 m²

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Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

☯ 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.

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