How to calculate the center of a triangle

There are some different ways to determine the center of a triangle . Using calculations you can only use what is called the formula of the center, to determine the center point of the triangle in the Cartesian coordinate system. If you want to see how it is done, keep looking at the following article on how to calculate the center of a triangle.

Steps to follow:

one

Write the following equation: x = (Ax + Bx + Cx) / 3 and write down the three values ​​"x" of the points of the triangle in the Cartesian graph. Then divide this value by three.

In our example:

x = [(-3) + 10 + (-10)] / 3 = -3 / 3 = -1

two

Write the following equation: y = (Ay + By + Cy) / 3, and write down the three "y" values ​​of the points of your triangle. Divide this number by three.

In our example:

y = [(-7) + 0 + 6] / 3 = -1 / 3 = - 0.33

3

Now we just have to mark the midpoint on the coordinate axis. The values ​​x and y are the coordinates of the central point of the triangle and in our case

  • x = -1
  • y = -0.33

Tips
  • If you want to find a center point of the triangle without the use of calculations, just draw three lines from the midpoint of each side to the point of the opposite angle. These three lines cross, find the central point.