Properties and Applications
Properties:
HG=2GO, ON=NH, OG=2GN, NH=3GN.
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.
Applications:
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.
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.
Applications:
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.