Remarkable points and straight lines in a triangle
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The document discusses three notable points in a triangle: the circumcenter, which is the point where the perpendicular bisectors of the sides intersect; the incenter, which is the point where the angle bisectors intersect; and the centroid or geometric barycenter, which is the point where the three medians intersect.
Remarkable points and straight lines in a triangle
- 1. Remarkable points and straight lines in a triangle
- 2. Circumcenter (circuncentro) • The perpendicular bisectors(mediatrices)in a triangle are the perpendicular bisectors of its sides. The three perpendicular bisectors of a triangle converge at a point called circumcenter, the center of the triangle’s circumcircle.
- 3. Incenter (Incentro) • The three angle bisector(bisectrices) of a triangle converge at a point called incenter, the center of the triangle’s incircle.
- 4. Centroid or geometric barycenter (Baricentro) • A median (mediana) is a line that connects the vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle converge at a point called centroid or geometric barycenter.