Find the length of an equilateral triangle having an area of 16

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:

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