Question

PLEASE JELP

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 $\left(-\dfrac{10}{3},2\right).$

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

$\left(\dfrac{a+c+e}{3},\dfrac{b+d+f}{3}\right).$

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

$\left(\dfrac{-6+(-4)+0}{3},\dfrac{0+4+2}{3}\right)\\\\\\=\left(\dfrac{-10}{3},\dfrac{6}{3}\right)\\\\=\left(-\dfrac{10}{3},2\right).$

Thus, the required co-ordinates of the centroid are $\left(-\dfrac{10}{3},2\right).$