How do you find equations for medians

Answer 1

I will assume you are dealing with a triangle where the coordinates of the vertices are known.
A median is a straight line from a vertex to the midpoint of the opposite side.

So pick a side, find the midpoint of that side.
Now you have a pair of points, the vertex and the opposite midpoint.

Proceed with finding the equation of a straight line if you are given 2 points.

BTW, did you know that you can quickly find the centroid, the intersection of the medians, by (sum of x coordinates/3,sum of y coordinates/3) ?

You could find that point in combination with the 3 vertices to find the 3 medians.