Centroid of a triangle
The centroid of a triangle is the point where the three medians of a triangle meet or intersect
An illustration of the centroid is shown below.
In the above graph, we call each line (in blue) a median of the triangle.
The median is the line that starts from a vertex and goes to the midpoint of the opposite side
After you construct all three medians, the point where they intersect ( shown in red ) is the centroid
Now, If you put a triangle on the coordinate system, you can easily get the centroid by doing some simple calculation
Call the centroid C, the formula to get the centroid is:
[( x
_{1} + x
_{2} + x
_{3})/3, (y
_{1} + y
_{2} + y
_{3})/3]
Example:
Find the centroid of the following triangle with veetices (1,2), (3,4), and (5,0)
C = [ (1 + 3 + 5) / 3 , (2 + 4 + 0) / 3 ] = (9/3 , 6/3) = (3,2)