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.

centroid of a triangle
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

centroid of a triangle
Call the centroid C, the formula to get the centroid is:

[( x1 + x2 + x3)/3, (y1 + y2 + y3)/3]


Find the centroid of the following triangle with veetices (1,2), (3,4), and (5,0)

centroid of a triangle
C = [ (1 + 3 + 5) / 3 , (2 + 4 + 0) / 3 ] = (9/3 , 6/3) = (3,2)

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Calculate the Harmonic Mean

    Jan 13, 17 01:28 PM

    What is the harmonic mean? How to calculate the harmonic mean?

    Read More