Question

If the equilateral triangle is 16root3 cm^2,then find the perimeter of the triangle

Answer 1

The side of the equilateral triangle is 8 cm.

So,
The perimeter of the triangle is 3*side
Hence,

Perimeter = 3*8 = 24 cm

Therefore, The answer is 24 cm.


Please refer the above photograph for the used process.



KEY POINTS TO REMEMBER :-

☸️ Heron's Formula (area of triangle)
The derivation of the area of equilateral triangle according to Heron's Formula.
The area of equilateral triangle is :-

$\frac{ \sqrt{3} }{4} {a}^{2}$
Where, a is the side of the triangle.


Using this formula we can find the side.



☸️Perimeter of equilateral triangle = 3 *side.


Thanks!

Answer 2

$\textbf{Kindly refer to the above attachment!}$



$\huge{\underline{\bold{\fbox{Heron's \:Formula}}}}$



$\large{\underline{\bold{Ans.}}}$ $\large{\bold{\fbox{\red{8\: cm}}}}$ ✔️✅