Linked from
The 15 pages that link to Incircle, each with the reason it gives.
IncenterRelated: The incenter is the center of the circle tangent to all three sides.
OrthocenterRelated: Its center, the incenter, offers a useful comparison with the orthocenter.
Angle bisectorRelated: The incenter locates the circle equally tangent to all three triangle sides.
SemiperimeterRelated: For a triangle, its radius and semiperimeter determine the area.
Euler's inequalityBroader topic: Its radius supplies the other quantity in the inequality.
Feuerbach's theoremRelated: Feuerbach's theorem identifies its tangency with the nine-point circle.
Incenter–excenter lemmaRelated: Its radius supplies the incenter’s distance to each side.
Japanese theoremRelated: Its radius is the inradius being summed in the theorem.
Japanese theorem for cyclic polygonsRelated: The inradius is the radius of the triangle’s incircle.
Reuschle's theoremRelated: It is one of the classical circles used in triangle-center relations.