Question

find the area of an equilateral triangle whose perimeter is 12 roote 3

Answer 1

perimete of equilateral triangle = 3× side


$12 \sqrt{3} = 3 \times side$
$side = 4 \sqrt{3}$


$area = ( \sqrt{3} \div 4 )\times side {}^{2}$

$( \sqrt{3} \div 4) \times (4 \sqrt{3} ) {}^{2}$

$(\sqrt{3} \div 4 )\times 48$

$area \: = 12 \sqrt{3}$


Thanks

Answer 2

the perimeter of equilateral triangle is 3a

3a = 12√3

a = 12√3/3

a= 4√3

area of equilateral triangle is √3/4a²

= √3×4√3×4√3/4
= 4×3×√3
= 12√3 unit ²
here is ur answer♥♥♥