Answer:
Option (3)
Step-by-step explanation:
Coordinates of the centroid of a triangle with given vertices (x₁, y₁), (x₂, y₂) and (x₃, y₃) is given by,
X-coordinates = [tex]\frac{x_1+x_2+x_3}{3}[/tex]
Y-coordinates = [tex]\frac{y_1+y_2+y_3}{3}[/tex]
For the given triangle FGH,
Coordinates of the vertices are,
F(-3, 1), G(2, 6) and H(4, 1)
X-coordinate of the centroid = [tex]\frac{-3+2+4}{3}[/tex] = 1
Y-coordinate of the centroid = [tex]\frac{1+6+1}{3}[/tex] = [tex]\frac{8}{3}[/tex]
Therefore, coordinates of the centroid will be (1, [tex]\frac{8}{3}[/tex] )
Option (3) will be the answer.
