Question

Determine the centroid of this triangle below: *

Answer 1

Option (3)

Explanation:

Coordinates of the centroid of a triangle with given vertices (x₁, y₁), (x₂, y₂) and (x₃, y₃) is given by,

X-coordinates =
`(x_1+x_2+x_3)/(3)`

Y-coordinates =
`(y_1+y_2+y_3)/(3)`

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 =
`(-3+2+4)/(3)` = 1

Y-coordinate of the centroid =
`(1+6+1)/(3)` =
`(8)/(3)`

Therefore, coordinates of the centroid will be (1,
`(8)/(3)` )

Option (3) will be the answer.