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)

Page copy protected against web site content infringement by Copyscape

New Math Lessons

  1. Gas tank word problem

    Nov 21, 15 09:18 PM

    The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8100 gallons of gas filled the station's tank. After that the tanker

    Read More

  2. Math Game

    Nov 18, 15 02:02 PM

    This math game will help you review a wide variety of math topics while having fun at the same time.

    Read More

Bookmark and Share