Concurrent lines in Triangles

Centroid of a triangle divides its median in the ratio of $1:2$ from the vertex.

The point of concurrence of altitudes of a triangle is called orthocentre.

The point of concurrence of medians of a triangle is called centroid.

In a triangle $PQR$, if $\angle Q$ is obtuse and $S$ is the orthocentre of $△PQR$, the find the orthocentre of $△PSR$.

In a right triangle, prove that the circumcentre of a right triangle lies on the hypotenuse of the triangle.

Incentre of a triangle is _____ from all its sides.

The point of concurrence of perpendicular bisectors of the sides of a triangle is called _____.