Geometry

How do you find equations for medians

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  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.

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