Answer: 36.95
Step-by-step explanation:
Because its an equilateral triangle, each side is equal. We can split the equilateral into a 30-60-90 triangle. The base is x, the height is x[tex]\sqrt{3}[/tex] and the hypotenuse is 2x.
32/[tex]\sqrt{3}[/tex] = 18.4752086
So the height is equal to:
x = 18.4752086
18.4752086[tex]\sqrt{3}[/tex]
Since the hypotenuse is 2x, we can calculate that with:
2x
= 2(18.4752086)
= 36.9504172
The length of each side is 36.95