Udowodnij Barnej: Udowodnij, że środkowe w trójkącie dzielą się w stosunku 2:1.

M:

Hadney: If I remember correctly, this is most often proven vectorially or using analytic geometry. The vectorially was probably a bit more elegant, if you set the origin correctly. I remember that you had to cleverly write out the median vectors and then show that this intersection point divides them in this ratio of 2:1. https://spacewaves.io

panelchanging: To prove that the medians of a triangle divide in the ratio 2:1, we will show that each median of a triangle is divided by the centroid in a 2:1 ratio, with the longer segment between the vertex and the centroid. https://stickmanhookonline.io