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See also the animated version.
|After doing this||Your work should look like this|
|We start with a triangle PQR.|
|First, we draw the median of the triangle through R|
|1. Construct the bisector of the line segment PQ. Label the midpoint of the line S.
See Constructing a perpendicular bisector of a line segment
|2. Draw the median from the midpoint S to the opposite vertex R|
|Next, we draw the second median of the triangle through P|
|3. In the same manner, construct T, the midpoint of the line segment QR. See Constructing a perpendicular bisector of a line segment|
|4. Draw the median from the midpoint T to the opposite vertex P|
|(Optional step) Repeat for the third side. This will convince you that the three medians do in fact intersect at a single point. But two are enough to find that point.|
|5. Done. The point C where the two medians intersect is the centroid of the triangle PQR.|