Respuesta :
Answer:
3.89 inches square
Step-by-step explanation:
We are given with an equilateral triangle and we are required to find its area.
The area of an equilateral triangle is given by the formula
[tex]A=\frac{\sqrt{3} }{4} s^{2}[/tex]
Where s is the side of triangle.
Also given that perimeter is 9 inches. This means sum of all equal sides is 9
or
3s=9
that is
x
s=3
Now we put the value of s from here in our formula for Area
[tex]A=\frac{\sqrt{3} }{4} (3)^{2}\\A=\frac{\sqrt{3} }{4} *9\\A=3.89[/tex]