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We start with a triangle PQR. |
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| 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 |
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| 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 |
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| 4. Draw the median from the midpoint T to the opposite vertex P |
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| (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. |
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