Question

what is the area of an equilateral triangle with side 2√3 cm

Answer 1

Here is your solution

Given :-

$Side \: of \: equilateral \: triangle\\ = 2 \sqrt{3} cm$

Now,

$Area \: of \: equilateral \: triangle\\ = \frac{ \sqrt{3} }{4} \times (side) {}^{2} \\ \\ =\frac{ \sqrt{3} }{4} \times (2 \sqrt{3} ) {}^{2} \\ \\ =\frac{ \sqrt{3} }{\cancel4} \times (\cancel12) \: 3 \\ \\ = 3 \sqrt{3} cm {}^{2}$
$hence \: area \: of \: equilateral \: triangle \: \\ =3 \sqrt{3} \:cm {}^{2}$

Answer 2

Hey friend here is your answer

Length of one Side = 2 root 3

Area of equilateral triangle= 1/2 × (2 root 3 ) square.

= 1/2 × 12
= 12 cm square.

Therefore area of triangle = 12 cm square.

Hope it helps you.