Question

If the area of equilateral triangle is 16under root 3cm2 finf its perimeter

Answer 1

Answer:

Perimeter of the equilateral triangle

= 24 cm

Step-by-step explanation:

Given that,

the area of equilateral triangle

is 16√3 cm²

let the side of the triangle be a

we know that,

area of an equilateral triangle

= (√3/4 )a²

given area = 16√3 cm²

so,

(√3/4)a² = 16√3

√3a² = 64√3

a² = 64√3/√3

a² = 64

a = 8 cm

so,

side of the equilateral triangle = 8 cm

now,

perimeter of the equilateral triangle

= 3 × side

= 3 × 8

= 24 cm

so,

Perimeter of the equilateral triangle

= 24 cm

Answer 2

$\:\:\:\: \: \: \: \: \: \: \: \: \huge\mathcal\red{\bf{!!ANSWER!!}}$

$\small\mathcal\blue{\underline{...........................................................................................}}$

$\large\mathcal\pink{..area=16\sqrt{3}}$

$\small\mathcal\blue{\underline{...........................................................................................}}$

$\large\mathcal\pink{..\frac{\sqrt{3}}{2}\times a{}^{2}=16\sqrt{3}}$

$\large\mathcal\pink{..a{}^{2}=16\times4}$

$\large\mathcal\pink{..a=\sqrt{64}=8}$

$\large\mathcal\pink{..perimeter=8\times3}$

$\large\mathcal\pink{.. perimeter=24 \:\:cm}$

$\small\mathcal\red{\underline{...........................................................................................}}$

$\huge\mathcal\blue{\underline{hope\:\: this\:\: helps\:\: you}}$