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how the hell do you even find the centroid of a triangle to begin with, that's what i want to know!

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Q: Centroid of a triangle coordinates proof?
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How to find centroid of a triangle?

The coordinates of the centroid relate to the average of coordinates of the triangle's vertices. Free online calculation tool - mathopenref.com/coordcentroid.html


How do you calculate the centroid of a triangle?

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].


How do you find the centroid of a triangle given the coordinates of the vertices?

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].


What is the first step to finding a triangles center of gravity?

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.


Where can the centroid be found in a triangle?

The centroid is where all the medians in a triangle meet.


What is the centroid of the triangle?

The centroid of a triangle is where the median of each side meet.


What is center of gravity of a triangle?

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 WHAT the in a triangle?

the centroid is the intersection of medians


Which center of a triangle is also the center of gravity of the triangle?

orthocenter* * * * *No it is not. It is the centroid - where the medians meet.The centroid.


What triangle has a incenter circumcenter orthocenter and centroid?

Every triangle has an incentre, circumcentre, orthocentre and centroid.


Centroid of a triangle?

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.


How do you find the midpoint of a scalene triangle?

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.