Question

In ∆ABC, G (-4, -7) is the centroid. If A (-14, -19) and B (3, 5), then find the co-ordinates of C.

Answer 1

G (x, y) = G (-4, -7),

A (x₁, y₁) = A (-14, -19),

B(x₂, y₂) = B(3, 5)

Let the co-ordinates of point C be C(x₃, y₃).

G is the centroid. 

By centroid formula,

∴ The co-ordinates of point C are (-1, – 7).