Editing Right triangle (section)

===Circumcircle and incircle===
* The triangle can be inscribed in a [[semicircle]], with one side coinciding with the entirety of the diameter ([[Thales' theorem]]).
* The [[Circumscribed circle|circumcenter]] is the [[midpoint]] of the longest side.
* The longest side is a [[diameter]] of the [[Circumscribed circle#Circumscribed circles of triangles|circumcircle]] <math>(c=2R).</math>
* The circumcircle is [[tangent]] to the [[nine-point circle]].<ref name=Andreescu>Andreescu, Titu and Andrica, Dorian, "Complex Numbers from A to...Z", Birkhäuser, 2006, pp. 109–110.</ref>
* The [[Altitude (triangle)#Orthocenter|orthocenter]] lies on the circumcircle.<ref name=Crux/>
* The distance between the [[Incircle and excircles of a triangle|incenter]] and the orthocenter is equal to <math>\sqrt{2}r</math>.<ref name=Crux/>