# The center of the triangle

The center of a triangle or the center of gravity of a triangle is the intersection point of the medians in the triangle. Similarly, the center of gravity divides the median in a ratio of 2:1, counting from the top. To find the center, if the coordinates of its vertices are known, it is necessary to find the sum of three values of the coordinates “x” and three values of the coordinates “y”. Divide each sum by 3, we get the average value of the sums of the coordinates “x” and “y”, which will be the coordinates of the center of gravity.

.**The center of the triangle through its coordinates**

**X**

_{1}=**Y**

_{1}=**X**

_{2}=**Y**

_{2}=**X**

_{3}=**Y**

_{3}=**Centre, G**