Question

A
If the area of an equilateral triangle is 36v3cm2, find its perimeter.
​

Answer 1

We know area of a equilateral triangle is √3/4a^2 where a is the side

hence

√3/4 a^2 = 36√3

a^2 = (36√3)× 4 / √3

a^2 = 36× 4

a^2 = 144

a = 12

now the perimeter of equilateral triangle is 3 × side (which is a in our case)

hence the perimeter becomes = 3×12

=36cm

Thank you

Answer 2

Step-by-step explanation:

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

$p = 3a$

$p = \: 2 \: 3 {}^{ \frac{3}{4} }$

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

$\sqrt{36} \: \: = \: 27.35408$

$perimetre \: = \: 27.35$

Hope this helps you.