Question

find the area of an equilateral triangle with side
$2 \sqrt{3} cm$
​

Answer 1

Step-by-step explanation:

$area \: of \: an \: equillateral \: triangle \: \: = = \frac{ \sqrt{3} }{4} {a}^{2}$

$side \: of \: an \: eqillateral \: triangle \: \\ a= \frac{ \sqrt{2} }{3} cm$

$area = \frac{ \sqrt{3} }{4} \times { \frac{ \sqrt{2} }{3} }^{2}$

$\: \: \: \: \: \: \: \: = \frac{ \sqrt{3} }{4} \times \frac{2}{9}$

$= \frac{ \sqrt{3} }{2 \times 9}$

$= \frac{ \sqrt{3} }{18}$

$= \frac{1}{6 \sqrt{3} }$cm square