Question

What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ?

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Answer 1

The coordinates of the centroid of the triangle is (-3.33 , 2)

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
`O_x` and
`O_y`

when the coordinates of the vertices of the triangle are given , the

The coordinates of the centroid is given by,

`O_x = (A_x +B_x+C_x)/(3)`
`O_y = (A_y +B_y+C_y)/(3)`

here

`A_x` = -6

`B_x` = -4

`C_x` = 0

`A_y` =0

`B_y` = 4

`C_y` = 2

Substituting the values

`O_x = ((-6)+(-4)+0)/(3)`
`O_y = (0+4+2)/(3)`

`O_x = ((-10))/(3)`
`O_y = (6)/(3)`

`O_x = -3.33`
`O_y = 2`