find the centroid of the triangle vertices are( -1,3) (6,-3) and (-3,6)
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Given:
Vertices: ( -1,3), (6,-3) and (-3,6)
To find:
The centroid's coordinates
Solution:
The triangle's centroid's coordinates are (2/3, 2).
We can take the average of the vertices' coordinates to obtain the centroid's coordinates.
The given triangle's vertices are as follows-
(x1, y1)=( -1,3)
(x2, y2)=(6,-3)
(x3, y3)=(-3,6)
Let the centroid's vertex be (A, B).
So, A=(x1+x2+x3)/3
A=(-1+6-3)/3
A=2/3
B=(y1+y2+y3)/3
B=(3-3+6)/3
B=6/3
B=2
(A, B)=(2/3, 2)
Therefore, the triangle's centroid's coordinates are (2/3, 2).
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