how the hell do you even find the centroid of a triangle to begin with, that's what i want to know!
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].
centroid of a triangle lies at the point where the medians of the triangle intersect.
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.
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.
A centroid is a location. A location cannot be positive nor negative! One or both coordinates can be negative. Or more coordinates in higher dimensions.