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CBSE - X
Section Formula
Given two end points of line segment A(x1, y1) and B (x2, y2) you can determine the coordinates of the point P(x, y) that divides the given line segment in the ratio m:n using Section Formula given by 
.
The midpoint of a line segment divides it into two equal parts or in the ratio 1:1. The midpoint of line segment joining the points (x1, y1) and (x2, y2) is 
.
The line joining the vertex to the midpoint of opposite side of a triangle is called Median. Three medians can be drawn to a triangle and the point of concurrency of medians of a triangle is called Centroid denoted with G.
If A(x1, y1), B(x2, y2) and C(x3, y3) are vertices of a triangle then its centroid G is given by 
. The centroid of a triangle divides the median in the ratio 2:1.
The midpoint of line segment joining the points (x1, y1) and (x2, y2) is 
.
Centroid of triangle with vertices (x1, y1), (x2, y2) and (x3, y3) is 
. Centroid of a triangle divides the median in the ratio 2:1.
