Find the coordinates of centroid of a triangle whose . . .

Question : Find the coordinates of centroid of a triangle whose vertices are (1,4), (-1,-1) and (3, -2)?

Doubt by Vanshika

Solution : 

If (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the coordinates of the vertices of a triangle then the coordinates of the centroid are given by [(x₁+x₂+x₃)/3 , (y₁+y₂+y₃)/3]

Let

A (1,4)

B (-1, -1)

C (3, -2)

Coordinates of Centroid
G (x,y) = [(x₁+x₂+x₃)/3 , (y₁+y₂+y₃)/3]

G (x,y) = [ {1+(-1)+3}/2 , {4+(-1)+(-2)}/3]
G (x,y) = [3/2, 1/3]

Hence, the required coordinate of the centroid will be (3/2, 1/3).