In the given figure, find the co-ordinates of C, where G is the centroid of the ABC where coordinates of A are (5, -3), B (2, 8) and G (2, 0).
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The centroid of a triangle is given by:
x = (x1 + x2 + x3)/3
y = (y1 + y2 + y3)/3
where (x1,y1), (x2,y2), (x3,y3) are the coordinates of vertices of triangle,
Therefore,
2 = (5 + 2 + x3)/3
x3 = -1
0 = (-3 + 8 + y3)/3
y3 = -5
The co-ordinates of C are (-1, -5)
x = (x1 + x2 + x3)/3
y = (y1 + y2 + y3)/3
where (x1,y1), (x2,y2), (x3,y3) are the coordinates of vertices of triangle,
Therefore,
2 = (5 + 2 + x3)/3
x3 = -1
0 = (-3 + 8 + y3)/3
y3 = -5
The co-ordinates of C are (-1, -5)
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