# Centroid of Triangle

Center of gravity (centroid) of a triangle lies at a common point where the medians of geometric figures intersect each other. For determining centroid draw a lines from medians of each face to the corner of opposite sides. As shown in the figure below:

### Example

Find the centroid of triangle having b= 12’ and h= 6’.

Solution:

Centroid of triangle is a point where medians of geometric figures intersect each other. In case of triangle this point is located at 2b/3 horizontally from reference y-axis or from extreme left vertical line. And h/3 vertically  from reference x-axis or from extreme bottom horizontal line line.

Hence, from extreme left line =  2b/3 = (2×12)/3 = 8′

similarly, h/3 vertically from extreme bottom horizontal line = 6/3 = 2′

Now draw a  vertical line at a distance of 2b/3 from reference x-axis. In the same way draw a horizontal line at a distance of h/3. A point where two lines will intersect will the centroid of triangle.

As shown in the figure below: