Answer:
The coordinates of the centroid of the triangle is (-3.33 , 2)
Step-by-step explanation:
Given:
Coordinated if the vertices of the triangle = A(−6, 0) , B(−4, 4) , C(0, 2)
To Find:
Coordinates of the centroid of a triangle = ?
Solution:
Let the coordinate of the centroid be [tex]O_x[/tex] and [tex]O_y[/tex]
when the coordinates of the vertices of the triangle are given , the
The coordinates of the centroid is given by,
[tex]O_x = \frac{A_x +B_x+C_x}{3}[/tex] [tex]O_y = \frac{A_y +B_y+C_y}{3}[/tex]
here
[tex]A_x[/tex] = -6
[tex]B_x[/tex] = -4
[tex]C_x[/tex] = 0
[tex]A_y[/tex] =0
[tex]B_y[/tex] = 4
[tex]C_y[/tex] = 2
Substituting the values
[tex]O_x = \frac{(-6)+(-4)+0}{3}[/tex] [tex]O_y = \frac{0+4+2}{3}[/tex]
[tex]O_x = \frac{(-10)}{3}[/tex] [tex]O_y = \frac{6}{3}[/tex]
[tex]O_x = -3.33[/tex] [tex]O_y = 2[/tex]
