The coordinates of centroid are: (10/3, 3)
Step-by-step explanation:
The formula for calculating centroid of a triangle is:
[tex](x,y) = (\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})[/tex]
Here (x1,y1) are the coordinates of first vertex
(x2,y2) are the coordinates of second vertex
(x3,y3) are the coordinates of third vertex
Given:
G(-2,5) = (x1,y1)
H(6,5) =(x2,y2)
J(6,-1) = (x3,y3)
Let I be the centroid of the triangle
Putting the values in the formula
[tex]I(x,y) = (\frac{-2+6+6}{3},\frac{5+5+-1}{3})\\= (\frac{10}{3},\frac{9}{3})\\=(\frac{10}{3},3)[/tex]
The coordinates of centroid are: (10/3, 3)
Keywords: Centroid, Triangle
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