Question

Area of equilateral triangle is 16 root3 find the perimeter of a traingle

Answer 1

Answer:

24 cm

Step-by-step explanation:

Area of equilateral triangle = 16√3 cm²

= √3/4 × a² = 16√3

√3 cancel on both sides.

a²/4 = 16

a² = 64

a = 8

Side of equilateral triangle is 8 cm

Perimeter of Equilateral triangle = 3a

= 3 × 8

= 24 cm

Answer 2

SOLUTION:-

Given:

Area of an equilateral ∆ is 16√3.

To find:

The perimeter of triangle.

Therefore,

We know that, area of an equilateral triangle is;

$= > \frac{ \sqrt{3} }{4} {a}^{2}$

So,

$= > \frac{ \sqrt{3} }{4} {a}^{2} = 16 \sqrt{3} \\ \\ = > {a}^{2} = \frac{16 \sqrt{3} \times 4}{ \sqrt{3} } \\ \\ = > {a}^{2} = 16 \times 4 \\ \\ = > {a}^{2} = 64 \\ \\ = > a = \sqrt{64} \\ \\ = > a = 8$

Now,

We know perimeter of triangle is;

=) 3 × side

=) 3 × 8

=) 24

Hope it helps ☺️