Question

The side of an equilateral triangle of area 64√3 cm2​

Answer 1

Answer:

16

Step-by-step explanation:

if a is the side of an equilateral triangle then area = (√3/4)a^2

so (√3/4)a^2=64√3

a^2= 64*4

a=8*2

a=16

Answer 2

Answer:

16cm

Step-by-step explanation:

Area of equilateral triangle is given by

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

where a is length of side of triangle

∴  $\frac{\sqrt{3} a^{2} }{4}$ = 64√3

∴ a² = 64×4

∴ a = √64×4

∴ a = 8×2

∴ a = 16cm