Question

If the area of an equilateral triangle is 16 root 3 cm square , find the perimeter of the trinagle

Answer 1

area =√3/4a^2 = 16√3

a^2 = 16*4 =64
a =8
perimeter =3a=3*8=24cm

Answer 2

Answer:

24 cm

Step-by-step explanation:

Area of equilateral triangle = $\frac{\sqrt{3}}{4} a^2$

Since we are given that area of an equilateral triangle is 16 root 3 cm square

So, $16 \sqrt{3}=\frac{\sqrt{3}}{4} a^2$

$16=\frac{1}{4} a^2$

$16 \times 4=a^2$

$64=a^2$

$\sqrt{64}=a$

$8=a$

Thus the side of equilateral triangle is 8 cm.

Perimeter of equilateral triangle = $3 \times Side$

                                                     = $3 \times 8$

                                                     = $24$

Hence the perimeter of the triangle is 24 cm.