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A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A , B , and C is denoted ABC . In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space). the secondary parts of the triangle median - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side angle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite side altitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite side perpendicular bisector - a line whose points are equidistant from the endpoints of the given side incenter - the point of concurrency of the three angle bisectors of the triangle centroid - the point of concurrency of the three medians of the triangle orthocenter - the point of concurrency of the three altitudes of the triangle circumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle
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Geometry Secondary Parts of Triangles and Con Currencies

Mar 04, 2015

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Page 1: Geometry Secondary Parts of Triangles and Con Currencies

A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.

In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).

the secondary parts of the triangle

median - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side

angle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite side

altitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite side

perpendicular bisector - a line whose points are equidistant from the endpoints of the given side

incenter - the point of concurrency of the three angle bisectors of the triangle

centroid - the point of concurrency of the three medians of the triangle

orthocenter - the point of concurrency of the three altitudes of the triangle

circumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle

Page 2: Geometry Secondary Parts of Triangles and Con Currencies