Math CentralQuandaries & Queries


Question from tanya, a student:

A triangle has vertices at A(-3, 2) B ( -5,-6) and C (5,0)

Find the equation of the line containing the median from the vertex A.

Hi Tanya.

The median goes from a vertex to the midpoint of the opposite side.

Use the midpoint formula (that is just the average of the x values and the average of the y values of B and C) of the opposite side to determine the midpoint.

Then use the point-point form of a line equation with the vertex A and this midpoint to answer the question.

Point-point form: If the two points are (x1, y1) and (x2, y2), then the equation of the line through them is

two point form

You may want to convert the equation into standard form Ax + By = C as your final answer.


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS