This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.
See also the animated version.
After doing this | Your work should look like this |
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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 |
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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. | ![]() |