To solve, simply multiply the side length by 3 since they are all equal. Thus,

To solve, simply multiply the side length by . Thus,

Since the triangle is equilateral, the base and the legs are equal, so the first step is to set the two equations equal to each other. Start with , add to both sides giving you . Subtract from both sides, leaving . Finally divide both sides by , so you're left with . Plug back in for into either of the equations so that you get a side length of . To find the perimeter, multiply the side length , by , giving you .

An equilateral triangle has 3 equal length sides.

Therefore the perimeter equation is as follows,

.

So divide the perimeter by 3 to find the length of each side.

Thus the answer is:

To find perimeter of an quilateral triangle, simply multiply the side length by . Thus,

Recall that from any vertex of an equilateral triangle, you can drop a height that is a bisector of that vertex as well as a bisector of the correlative side. This gives you the following figure:

Notice that the small triangles within the larger triangle are both triangles. Therefore, you can create a ratio to help you find .

The ratio of the small base to the height is the same as . Therefore, you can write the following equation:

This means that .

Now, the area of a triangle can be written:

, and based on our data, we can replace with . This gives you:

Now, let's write that a bit more simply:

Solve for . Begin by multiplying each side by :

Divide each side by :

Finally, take the square root of both sides. This gives you . Therefore, the perimeter is .