Question

The centroid of the triangle $ABC$ where $A\equiv (2,3),B\equiv (8,10)$ and $C\equiv (5,5)$ is:

• A. $(5,6)$
• B. $(6,5)$
• C. $(6,6)$
• D. $(15,18)$

Answer 1

The correct option is A $(5,6)$

The centroid of a circle $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is $(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

So centroid of triangle joining $(2,3),(8,10),(5,5)$ is $(\frac{2+8+5}{3},\frac{3+10+5}{3})=(\frac{15}{3},\frac{18}{3})=(5,6)$