The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m:n m:n m:n. ... The section formula is helpful in coordinate geometry; for instance, it can be used to find out the centroid, incenter and excenters of a triangle.
A special case of this is the midpoint of a line segment, which divides the line segment into two parts in the ratio 1:1.
This formula is helpful in coordinate geometry; for instance, it can be used to find out the centroid, incentre and eccentric of a triangle. It has applications in physics too; it helps find the centre of mass of systems, equilibrium points, and more.
In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the centre of mass of systems, equilibrium points, etc.
The section formula builds on it and is a more powerful tool; it locates the point dividing the line segment in any desired ratio. The section formula is helpful in coordinate geometry; for instance, it can be used to find out the centroid, incenter and excenters of a triangle.