Question

if the area of an equilateral triangle is 36 root under 3 cm square find its perimeter

Answer 1

area = √3 / 4 a²
36√3 = √3/4 a²
36= 1/4 a²
a = 6 × 2 = 12 cm
perimeter= 3a = 12 ×3 = 36 cm

Answer 2

$area \: of \: equiateral \: triangle = 36 \sqrt{3} {cm}^{2}$
$= > \frac{ \sqrt{3} }{4} \times {side}^{2} = 36 \sqrt{3}$
$= > side = \sqrt{36 \times 4}$
$= > perimeter = 3 \times side$
$= > perimeter = 3 \times 12$
$=>perimeter=36cm$