Properties:[br][br]HG=2GO, ON=NH, OG=2GN, NH=3GN.[br][br][img]https://ds055uzetaobb.cloudfront.net/brioche/uploads/7G3uTIfyJT-eulerlinerelativedistances.png?width=1200[/img]​ [br]Relative distances of triangle centers. The red line is twice as long as the green line, and the blue line is three times as long as the green line.[br][br]Applications:[br][br]One important consequence of the Euler line is that information about any one of the centroid, orthocenter, and circumcenter can be derived from information about the other two.