Question

Find the coordinates of centroid of a triangle whose vertices are (4, 7), (8, 4) and (7, 11)

Answer 1

Let A(x₁, y₁) = A(4, 7), B(x₂, y₂) = B(8, 4), C(x₃, y₃) = C(7, 11)

∴ By centroid formula,

x = `(x_1 + x_2 + x_3)/3`

= `(4 + 8 + 7)/3`

= `19/3`

y = `(y_1 + y_2 + y_3)/3`

= `(7 + 4 + 11)/3`

= `22/3`

∴ The co-ordinates of the centroid are `(19/3, 22/3)`