Enter the coordinate points of each vertex of a triangle into the calculator. The calculator will evaluate and display the centroid of the triangle.
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The following formula is used to calculate the centroid of a triangle.
Z = [(X1+X2+X3)/3,(Y1+Y2+Y3)/3]
- Where Z is the coordinate points of the centroid
- x1,x2, and x3 are the x-coordinates of the vertices
- y1,y2, and y3 are the y-coordinates of the vertices
A centroid is the average coordinate center of any shape.
How to calculate a centroid?
- First, gather the coordinate points of the vertices
Gather both the x and y coordinate points of each vertex.
- Next, sum all of the x coodinates
Add together all of the x coordinates and then divide the answer by 3.
- Next, sum all of the y coordinates
Add together all of the y coordinates and then divide the answer by 3.
- Put the answers from steps 2 and 3 together
The centroid will have an x value equal to that calculated in step 2 and the y value equal to that calculated in step 3.
A centroid is the average center of any shape. In general, this is most associated with a triangle, but it can be calculated on any polygon with vertices.
The centroid is also known as the average of values of a set of points. In other words, it’s the average of a set of points, weighted by their respective values. Therefore, if you have a shape with 50 points, you could technically calculate the centroid of those points using the same formula as the above bad adding in the additional coordinates.