# Geo2.17

From Example Problems

are the vertices of a triangle.Find the equations of i)AB. ii)Median through A. iii)Altitude through B. iv)Perpendicular bisector of side AB.

Equation of AB is

Median of the traingle is

Now the equation of the line passing through A and median is

The slope of AC is

Now the slope of the altitude is -12/5

Now the equation of altitude through B is

Perpendicular bisector of side AB

The mid point of AB is

The slope of AB is -5/14,the slope of line perpendicular to this is 14/5.

hence the equation of perpendicular bisector is