Question

The vertices of a triangle ABC are A(2,1),B(-2,3) and C(4,5).Find the equation of the median through the vertex A​

Answer 1

Answer:

Median is a straight line joining a vertex and the midpoint of the opposite side.

Let D be the midpoint of BC.

∴ Midpoint of BC is D(

2

−2+4

,

2

3+5

)=D(1,4)

Now the equation of the median AD is

4−1

y−1

=

1−2

x−2

3

y−1

=

−1

x−2

∴ 3x+y−7=0 is the required equation.