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]

Example:

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. Find the Multiplicity of a Zero

    Oct 20, 21 04:45 AM

    Learn how to find the multiplicity of a zero with this easy to follow lesson

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.