Constructing the Euler Line in Geogebra
In this post, we are going to see how to construct the Euler line in Geogebra - an online graphing calculator. But first, a short description of what the Euler line is. In any triangle, the four notable centers - centroid, orthocenter, circumcenter and nine-point center - are collinear; meaning a straight line can connect all four of them. This line is the Euler line of that triangle. To see that by ourselves, we are going to use 2D graphing calculator in Geogebra to construct these four centers. So here’s a step by step guide on how to draw the Euler line passing through these four centers of a triangle in Geogebra (demonstrated with pictures). We are gonna need a triangle to begin with. I will assume you already know how to construct triangles in Geogebra. But if you want to know how to construct triangles of three given side lengths or two given side lengths & one given angle in Geogebra, check out this post of mine. Step 1 : Drawing a ...