Distance Formula
1) Distance of a point p (x_{1}, y_{1}) from the origin O, is
2) Distance between two points A(x_{1},y_{1}) and B(x_{2},y_{2}) , is
Mid point formula
The midpoint of the segment between (x_{1},y_{1}) and (x_{2}, y_{2}) is
Which is clear from the Figure 6 and Figure 7
Figure 7
Example Find the midpoint of the segment between (8, 2) and (6, 4)
Solution : Let A(x_{1}, y_{1}) = (8, 2) and C (x_{2}, y_{2}) = (6,4)
Let B (x, y) be the midpoint of the Segment AC then
Example Find the length of the median through A, for the triangle A(7, 3), B(3, 1) and C(5, 3).
Solution : Let D be the midpoint of BC. Then the coordinates of D are :
Hence, median

Index
8.1 Definition 8.2
Relations, Graphs and Symmetry 8.3
Slopes and Intercepts
Chapter 9
