ACT Math : How to find the perimeter of an equilateral triangle
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Example Question #1 : Equilateral Triangles
What is the perimeter of an equilateral triangle with an area of 
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 
The ratio of the small base to the height is the same as 
This means that 
Now, the area of a triangle can be written:
Now, let's write that a bit more simply:
Solve for 
Divide each side by 
Finally, take the square root of both sides. This gives you 
Example Question #2 : Equilateral Triangles
An equilateral triangle with a perimeter of 
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:
Example Question #2 : Equilateral Triangles
Jill has an equilateral triangular garden with a base of 
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 
Example Question #2 : How To Find The Perimeter Of An Equilateral Triangle
Find the perimeter of an equilateral triangle whose side length is
To find perimeter of an quilateral triangle, simply multiply the side length by 
Example Question #1 : Equilateral Triangles
Find the perimeter of an equilateral triangle whose side length is 
To solve, simply multiply the side length by 
Example Question #1 : Equilateral Triangles
Find the perimeter of an equilateral triangle given side length of 2.
To solve, simply multiply the side length by 3 since they are all equal. Thus,
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