Question

Perimeter of a equilateral triangle when area is 36√3 cm

Answer 1

HERE IS UR ANSWER MY FRIEND
HOPE THIS HELPS YOU
MARK ME THE BRAINLIEST AND PLEASE FOLLOW ME FOR MORE ANSWERS

Answer 2

Hi...☺

Here is your answer...✌

Let the side of Equilateral triangle be 'a'

GIVEN THAT,

Area of Equilateral triangle = 36√3 cm²


$\frac{ \sqrt{3} }{4} {a}^{2} = 36 \sqrt{3} \\ \\ \frac{1}{4} {a}^{2} = 36 \\ \\ {a}^{2} = 36 \times 4 \\ \\ a = \sqrt{6 \times 6 \times 2 \times 2} \\ \\ a = 6 \times 2 \\ \\ a = 12 \: cm$

Now,

Perimeter = 3a

= 3 × 12

= 36 cm

HENCE,

Perimeter of given equilateral triangle is 36 cm