Question

Calculate the area of a equilateral triangle which side is 2√3

Answer 1

Correct Question :

Calculate the area of a equilateral triangle which sides is 2√3 Cm.

Given :

$\setlength{\unitlength}{0.78 cm}\begin{picture}(12,4)\thicklines\put(5.4,5.8){ A }\put(11.2,5.8){ B }\put(8.4,10){ C }\put(6,6){\line(2,3){2.5}}\put(11,6){\line(-2,3){2.5}}\put(6,6){\line(1,0){5}}\put(5,7.9){ 2√3\:cm }\put(11,7.9){ 2√3\:cm }\put(8,5){ 2√3\:cm }\end{picture}$

• ∆ABC is a equilateral triangle sides 2√3 each.

AnsWer :

3√3 Cm².

Formula Use :

Area of equilateral triangle.

$\large \tt \longrightarrow \frac{ \sqrt{3} }{4} {a}^{2}$

• a is sides of equilateral triangle.

Solution :

Area of equilateral triangle,

$\implies\tt \frac{ \sqrt{3} }{4} \times {(2 \sqrt{3}) }^{2}$

$\implies \tt\frac{ \sqrt{3} }{\cancel4} \times \cancel{12}.$

$\implies \tt3 \sqrt{3} \: {Cm}^{2}.$

Therefore, the area of equilateral triangle is 3√3 Cm².

Answer 2

Step-by-step explanation:

Given -

Side of Equilateral triangle is 2√3 cm

To Find -

Area of Equilateral triangle

Now,

= √3/4 × (2√3)²

= √3/4 × 12 cm²

= √3 × 3 cm²

= 3√3 cm²

Hence,

The Area of Equilateral triangle is 3√3 cm²

Formula Used -

Area of Equilateral triangle is √3/4a²

where a is side.

Additional Information -

• In Equilateral triangle all sides of triangle are equal.

• All Angles of triangle is 60°