Question

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

Answer 1

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 $O_x$ and $O_y$

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

The coordinates of the  centroid is given by,

$O_x = \frac{A_x +B_x+C_x}{3}$        $O_y = \frac{A_y +B_y+C_y}{3}$

here

$A_x$ = -6

$B_x$ = -4

$C_x$ = 0

$A_y$ =0

$B_y$ = 4

$C_y$ = 2

Substituting the values

$O_x = \frac{(-6)+(-4)+0}{3}$        $O_y = \frac{0+4+2}{3}$

$O_x = \frac{(-10)}{3}$                  $O_y = \frac{6}{3}$

$O_x = -3.33$                              $O_y = 2$