Find the equation of median from the vertex A of triangle ABC if A(1,2), B(2,3), C(2,-5).

We have to find the median from the vertex A of the
triangle ABC.

Now, the mid point between B and C can be
derived using the relation for the finding the mid point between two points. It states
that the mid point between ( x1, y1) and (x2 , y2) is given by ( ( x1 + x2)/2, ( y1+
y2)/2).

The mid point between B(2,3) and C(2, -5) is ((
2+2)/2 , ( 3 - 5)/2)

=> ( 2 ,
-1)

The equation of the line joining A(1,2) and ( 2 , -1)
is y+1=[(2+1)/(1-2)]*(x - 2)

=> y + 1 = -3*(x -
2)

=> y + 1 = -3x +
6

=> 3x + y - 5 =
0

The required equation of the median is 3x +
y - 5 = 0