GMAT Math : Calculating the length of the side of an equilateral triangle
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Example Questions
Example Question #1 : Equilateral Triangles
If an equilateral triangle has a perimeter of 
Cannot be determined
An equilateral triangle has three equal sides; therefore, to find the length of each side, divide the perimeter by 
Example Question #2 : Equilateral Triangles
If the area of an equilateral is 
We derive the equation of base of a triangle from the area of a triangle formula:
Example Question #3 : Equilateral Triangles
The height of an equilateral triangle 
Similarily, we can use the same formula for the height to find the length of the side of an equilateral triangle, which is given by
Therefore, the final answer is
Example Question #4 : Equilateral Triangles
Equilateral triangle 
Since we are given the radius, we should be able to find the height of the equilateral triangle. Indeed, the center of the circle is at the intersections of the heights of the triangle, and is located 
Therefore 5, the radius of the circle is 
Therefore, the height must be 
From here, we can use the formula for the height of the equilateral triangle 
Therefore, 
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