Capítulo 8 · Neste capítulo você vai

Notable points of the triangle

  • prove that the medians, the angle bisectors, the perpendicular bisectors and the heights of a triangle are concurrent;
  • know centroid, incenter, circumcenter and orthocenter;
  • know where each point is in acute, right and obtuse triangles.
Giovanni Ceva.
Giovanni Ceva.
The centroid, meeting of the medians.
The centroid, meeting of the medians.
The incenter, center of the inscribed circle.
The incenter, center of the inscribed circle.

The figure below brings together the entire chapter. Connect each notable point, drag the vertices and observe which points are inside and which can leave the triangle.

Turn notable points on and off. The bottom buttons display acute, rectangle, obtuse and equilateral triangles (in equilateral, the four points coincide).