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 vertices (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)

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes


Math vocabulary quizzes