Question

PLEASE JELP

What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ? Enter your answers in the boxes.

Answer 1

PLEASE JELP
What are the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2) ? Enter your answers in the boxes.

For -3 1/3 you can use -10/3

Answer 2

Answer: The required co-ordinates of the centroid are
`\left(-(10)/(3),2\right).`

Step-by-step explanation: We are to find the coordinates of the centroid of a triangle with vertices A(−6, 0) , B(−4, 4) , and C(0, 2).

We know that

the co-ordinates of the centroid of a triangle with vertices (a, b), (c, d) and (e, f) are given by

`\left((a+c+e)/(3),(b+d+f)/(3)\right).`

Therefore, the co-ordinates of the centroid of triangle ABC are

`\left((-6+(-4)+0)/(3),(0+4+2)/(3)\right)\\\\\\=\left((-10)/(3),(6)/(3)\right)\\\\=\left(-(10)/(3),2\right).`

Thus, the required co-ordinates of the centroid are
`\left(-(10)/(3),2\right).`