Editing Right triangle (section)

==Euler line==
In a right triangle, the [[Euler line]] contains the median on the hypotenuse—that is, it goes through both the right-angled vertex and the midpoint of the side opposite that vertex. This is because the right triangle's orthocenter, the intersection of its altitudes, falls on the right-angled vertex while its circumcenter, the intersection of its [[Bisection#Perpendicular bisectors|perpendicular bisectors of sides]], falls on the midpoint of the hypotenuse.