Prove that the altitudes of a triangle are concurrent.

Show that the altitudes of a triangle are concurrent

Prove analytically that the altitudes of a triangle are concurrent.

Prove that the medians of a triangle are concurrent.

Prove that the medians of a triangle are concurrent and find the position vector of the point of concurrency (that is, the centroid of the triangle)

Prove that the medians of a triangle are concurrent and find the position vector of the point of concurrency (that is,the centroid of the triangle)

Prove analytically : The altitudes of a triangle are concurrent.

Prove the following by vector method. Altitudes of a triangle are concurrent.

By vector method prove that the three medians of a triangle are concurrent.