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Math Video Definitions -Euler Line

​Math Words-Video Definition-Euler Line


Euler Line: Given a triangle, if you draw the centroid, circumcenter, and orthocenter you will find the three points are collinear. (In a straight line)

The collinear line created from these three points is called the Euler line.  

The centroid is always located between the circumcenter and the orthocenter.  

centroid is the intersection of the medians of a triangle. A median is a line drawn from the vertex to midpoint of the opposite side.

The orthocenter is the intersection of the three altitudes of a triangle.
An altitude is a line drawn from the vertex perpendicular to the opposite side.

The center of a circumscribed circle about a triangle is the circumcenter
It is created from the intersection of the perpendicular bisectors of the triangle.