Question

If the area of an equilateral triangle is 16route3cm then find the perimeter of triangle

Answer 1

Area of equilateral triangle = 16√3


$\bold{we \: \: \: know \: \: area \: of \: equilateral \: triangle \: \: = \frac{ \sqrt{3} }{4} \times side^{2} \: }$



Hence,


$\frac{ \sqrt{3} }{4} \times {side}^{2} = 16\sqrt{3} \\ \\ => {side}^{2} = \frac{16 \times \sqrt{3} \times 4 }{ \sqrt{3 } } \\ \\ = > {side}^{2} = 64$


=> side² = 8²

=> side = 8 cm




Hence, perimeter = 3 × side

=> 3 × 8

=> 24 cm

Answer 2

HEY DEAR HERE IS YOUR ANSWER ✌✌❤❤

___________________________________
___________________________________

Area of an equilateral triangle = √3/4 a² units

Given area of the triangle is 16√3 cm²

√3/4 a² =16√3 cm²

= a² = 16√3 cm²* 4/√3

= a² = 64 cm²

= a = 8 cm

➡ Perimeter of the triangle = 3a = 3*8cm = 24 cm.

___________________________________
___________________________________

HOPE IT HELPS U.✌✌
# BE BRAINLY.❤❤
THANKS.❤❤