How To Find The Center Of A Triangle

Centroid of a triangle (Coordinate Geometry)

Given the coordinates of the three vertices of a triangle ABC,
the centroid O coordinates are given past

where A_x and A_y are the 10 and y coordinates of the point A etc..

Endeavor this Drag any betoken A,B,C. The centroid O of the triangle ABC is continuously recalculated using the above formula. You can besides drag the origin point at (0,0).

Retrieve that the centroid of a triangle is the point where the triangle's three medians intersect. It is likewise the centre of gravity of the triangle. For more than see Centroid of a triangle.

The coordinates of the centroid are simply the average of the coordinates of the vertices. So to notice the x coordinate of the orthocenter, add together up the three vertex ten coordinates and split by three. Repeat for the y coordinate.

Calculator


	ten	y
A
B
C

Centroid

Employ the calculator to calculate coordinates of the centroid of the triangle ABC. Enter the 10,y coordinates of each vertex, in whatsoever order.

Things to try

In the diagram at the top of the page, Drag the points A, B or C around and notice how the centroid moves and the coordinates are calculated. Endeavor points that are negative in x and y. You can drag the origin point to movement the axes.
Click "hide details". Drag the triangle to some random new shape. Calculate the centroid position so click "show details" to run into if you got it correct.

Once you lot have done the in a higher place, you lot can click on "print" and it will print the diagram exactly every bit you set information technology.