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]

Answer:

9/4[tex]\sqrt{3}[/tex]