Answer:
8 cm
Step-by-step explanation:
An equilateral triangle has 3 sides all being congruent to each other.
If I draw a line segment from one vertex to the opposite side at it's midpoint, I would have halved the triangle into two right triangles.
Let's each side of this equilateral triangle have measurement,
.
Let
be the height of the triangle:

Let's solve for h in terms of
.

Subtract
on both sides:




Now square root both sides:

So the area of the triangle is
.
Let's simplify that a bit:
.
We are also given a numerical value for the area,
.
So this will give us the equation
so that we can solve for
.
Multiply both sides by
:

Simplify the right hand side:


Take the square root of both sides:

