Find the co-ordinates of the centroid of the triangle whose vertices are (3,1,4),(-2,5,3) and (4,-5,3)

Explanation

To find the coordinates of the centroid of a triangle given its vertices, we can use the formula for the centroid \( G(x, y, z) \):

\[ G_x = \frac{x_1 + x_2 + x_3}{3}, \quad G_y = \frac{y_1 + y_2 + y_3}{3}, \quad G_z = \frac{z_1 + z_2 + z_3}{3} \]

where \( (x_1, y_1, z_1) \), \( (x_2, y_2, z_2) \), and \( (x_3, y_3, z_3) \) are the coordinates of the vertices of the triangle.

...