Question

the area of an equilateral triangle is 3200√3m². find each side of the triangle

Answer 1

Heya !!!

Given :-

Area of equilateral triangle = 3200√3 m².

We know that ......

Area of equilateral triangle= √3/4 × a² (where a is length of side)

So,

$3200 \sqrt{3} = \frac{ \sqrt{3} }{4} \times {a}^{2} \\ = > {a}^{2} = 3200 \times 4 \\ = > a = 2 \times \sqrt{3200} \\ = > a = 2 \times 40 \times \sqrt{2} = > a = 80 \sqrt{2} \: {m}^{2}$
Hence, the length of triangle is 80√2 m².

Hope you got the answer.
If any doubt feel free to ask ..

Answer 2

Area of equilateral triangle = 3

Area of equilateral triangle= √3/4 × a²

So
Hence, the length of triangle is 80√2 m².