Question

The points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃) are the vertices of ∆ABC. What are the coordinates of the centroid of the triangle ABC?

Answer 1

According to the question,

The vertices of ΔABC = A, B and C

Coordinates of A, B and C = A(x₁, y₁), B(x₂, y₂), C(x₃, y₃)

Coordinate of the centroid of the ΔABC;

= `("Sum of all coordinates of all vertices"/3, "Sum of all coordinates of all vertices"/3)`

= `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`