Definition of Centroid

Centroid of a triangle is the point of intersection of all its three medians.

The centre of mass of a uniform object is also called as Centroid.

More About Centroid

  • The centroid of a triangle divides the medians in the ratio 2:1.

Video Examples: Centroid

Example of Centroid

      example of Centroid
    In the above triangle, AL, BM, CN are the medians of the triangle and they intersect at the point P. So, the point P is the centroid of the triangle.

Solved Example onCentroid

Ques: Find the coordinates of the centroid of △XYZ with X (- 4, 2), Y (0, 5), and Z (3, - 1).

    example of Centroid
    A. (- 1/3, 2)
    B. (1/3, 2)
    C. (- 1/3, - 2)
    D. (- 1/3, - 1/2)
    Correct Answer: A


    Step 1: The centroid of a triangle is the mean of the X-coordinates and the mean of the Y-coordinates of the triangle's vertices.
    Step 2: The mean of the X-coordinates is (- 4 + 0 + 3)/3 = - 1/3.
    Step 3: The mean of the Y-coordinates is (2 + 5 + (- 1))/3 = 2.
    Step 4: The coordinates of the centroid is (- 1/3, 2).

Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student