Related Words
Centroid
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

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 on Centroid
Ques: Find the coordinates of the centroid of ΔXYZ with X ( 4, 2), Y (0, 5), and Z (3,  1).
Choices:
A. ( 1/3, 2)B. (1/3, 2)
C. ( 1/3,  2)
D. ( 1/3,  1/2)
Correct Answer: A
Solution:

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