The coordinates of the centroid relate to the average of coordinates of the triangle's vertices. Free online calculation tool - mathopenref.com/coordcentroid.html
If the coordinates of the three vertices are (xa, ya), xb, yb) and (xc, yc) then the coordinates of the centroid are [(xa+xb+xc)/3, (ya+yb+yc)/3].
The x-coordinate of the centroid is the arithmetic mean of the x-coordinates of the three vertices. And likewise, the y-coordinate of the centroid is the arithmetic mean of the y-coordinates of the three vertices. Thus, if A = (x1, y1), B = (x2, y2) and C = (x3, y3) then the coordinates of the centroid, G = [(x1,+ x2 + x3)/3, (y1 + y2 + y3)/3].
The first step to finding a triangle's center of gravity is to calculate the average of the x-coordinates and y-coordinates of the triangle's vertices. This will give you the coordinates of the centroid, which is the point where the center of gravity lies.
The centroid is where all the medians in a triangle meet.
The centroid of a triangle is where the median of each side meet.
The center of gravity of a triangle is its centroid. The centroid of a triangle is the intersection of the three medians.
the centroid is the intersection of medians
orthocenter* * * * *No it is not. It is the centroid - where the medians meet.The centroid.
Every triangle has an incentre, circumcentre, orthocentre and centroid.
The centroid of a triangle is the point of intersection of its three medians. Each median of a triangle connects a vertex to the midpoint of the opposite side. The centroid divides each median into two segments with a ratio of 2:1, closer to the vertex.
It makes no difference that the triangle is scalene. If the coordinates of the three vertices are (x1, y1), (x2, y2) and (x3, y3), then the coordinates of the midpoint (centroid) is [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]. Alternatively, join any two vertices to the midpoint of the opposite side. They (and the third median) will meet at the centroid.