# The orthocentre of a triangle is $(-3,5)$ and circumcentre is $(6,2)$ then find the centroid of the triangle.

The orthocentre of a triangle is $(-3,5)$ and circumcentre is $(6,2)$ then find the centroid of the triangle.

My Attempt:

We know that the centroid is the point of intersection of the three medians of a triangle. It divides the median in the ratio of $2:1$.

Now, how do I proceed further?

Hint Eulers line tells us that the centroid divides the line joining circumcenter and orthocenter in the ratio $2:1$ where $\frac {cg}{go}=\frac {2}{1}$
• @ArchisWelankar, You mean $$(x,y)=(\dfrac {m_1x_2+m_2x_1}{m_1+m_2} , \dfrac {m_1y_2+m_2y_1}{m_1+m_2})$$?????? – pi-π Apr 16 '17 at 15:18