Here we have triangle ABC. You can move points A, B, and C however you would like.[br][br]D represents the midpoint of AB[br]E represents the midpoint of AC[br]F represents the midpoint of BC[br][br]Clicking on each Median checkbox in the top left will create the median through the corresponding point (intersecting the opposite side at the midpoint!). Upon clicking two or more of these, the intersection of the medians (G) will show. Clicking all three will show that they all intersect at the same point. This point is called the [b]centroid[/b] of the triangle.[br][br]Select all checkboxes so that all medians are showing and move points A, B and C.[br][br]Do all three medians always intersect at one point, no matter the triangle?