Question

the length of the median from A to BC in triangle ABC where A=(-1,1),B=(-1,3),C=(5,1)

Answer 1

Let D be the coordinate on BC so that AD is median
So D is the mid point of BC
D{(-1+5)/2,(1+1)/2}
D(2,1)
So length of AD
=
$\sqrt{ (- 1 - 1) {}^{2} + (1 - 1) {}^{2} }$
2unit