How to Calculate the Center of Gravity of a Triangle

Step-by-Step Guide

1. 1

   Step 1: Find the midpoint of one side of the triangle.

   To find the midpoint, measure the side, and divide the length in half.
   
   Label the midpoint A.
   
   For example, if one side of the triangle is 10 cm long, the midpoint will be at 5 cm, since 10/2=5{\displaystyle 10/2=5}.
2. 2

   Step 2: Find the midpoint of a second side of the triangle.

   Measure the length of the side, and divide the length in half.
   
   Label the midpoint B.
   
   For example, if the side of the triangle is 12 cm long, the midpoint will be at 6 cm, since 12/2=6{\displaystyle 12/2=6}. , These two lines are the median of each side.
   
   A vertex is the point at which two sides of a triangle meet. , This point is the triangle’s center of gravity, also called the centroid, or center of mass.
   
   The center of gravity is where the three medians intersect, but since the medians only intersect in one point, you can use a shortcut and find the center of gravity by only finding the intersection of two medians.
3. 3

   Step 3: Draw a line from the midpoint of each side to its opposite vertex.

4. 4

   Step 4: Draw a point where the two medians intersect.

Detailed Guide

About the Author