How to Find Centroid and Medians with GeoGebra

You can use GeoGebra to find the centroid and medians of a triangle.

GeoGebra Instruction 1

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Make a triangle with the vertices A, B, and C by clicking Polygon GeoGebra icon . Then, you need to click on three points in Graphics View where you want the corners of the triangle to be. Finally, finish the triangle by clicking on the same point that you started with.
3.
Select Midpoint or Center GeoGebra icon (it is located in the same menu as Point GeoGebra icon). Construct the midpoints D, E, and F by clicking AB, BC, and AC, in that order.
4.
Select Segment GeoGebra icon (it is located in the same menu as Line GeoGebra icon). Construct the line from A to the midpoint F on the opposite side BC. Then, construct the line from B to the midpoint E on the opposite side AC. Finally, construct the line from C to the midpoint D one the opposite side AB. These lines are the medians.
5.
Select Intersect GeoGebra icon . Construct the point of intersection G of two medians. This point is the centroid.

Screenshot of GeoGebra showing a triangle with its centroid and medians drawn

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