Question

area of an equilateral triangle is 64 root 3 m square find the length of eachside of Triangle

Answer 1

Area of an equilateral triangle= 64√3

√3/4 a² = 64√3

a²=64×4√3/√3

a²=256

a=√256=16

LENGTH OF EACH SIDE =16 m

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Answer 2

Hey mate !
_______

Given,

✓ Area of an equilateral triangle = $64 \sqrt{3} \: m {}^{2}$

We know,

Area of an equilateral triangle = $\frac{ \sqrt{3} }{4} (side) {}^{2}$

A/Q,

$64 \sqrt{3 } = \frac{ \sqrt{3} }{4} (side) {}^{2} \\ \\ = > 64 \sqrt{3} \times \frac{4}{ \sqrt{3} } = (side) { }^{2} \\ \\ = > 256 = (side) {}^{2} \\ \\ = > \sqrt{256} = side$

=) 16 = Side

Therefore, The length of each side of the triangle is 16m

Hope it helps !