Math, asked by shrutijain2911, 9 months ago

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

Answers

Answered by amitkumar44481
11

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.

Answered by TrickYwriTer
3

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 33 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°
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