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

Question

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?

Answer 1

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} $