Work out triangle incenter instantly with clear inputs, formula shown and shareable results.
The incentre is the meeting point of the three angle bisectors and the centre of the inscribed circle. It is the side-length-weighted average of the vertices, and the inradius equals area divided by the semiperimeter.
Incentre
I = (a·A + b·B + c·C) / (a + b + c), r = Area / s
They are the side lengths opposite vertices A, B and C respectively, computed automatically from the coordinates you enter.
Never. The incircle is inscribed, so its centre always lies inside.