OUTSTANDING POINTS IN A TRIANGLE. are called salient points of the triangle to the points of intersection of the heights, the bisectors of the bisectors and medians, respectively.
The study one by one.
Remember that bisector of is the line segment perpendicular to it by its midpoint.
Before proceeding let us review the ownership of the bisector of a segment.
PROPERTY Mediatrix
All points belonging to the bisector of a segment are equidistant from the ends of it.
In the figure below appears a segment AB and its perpendicular bisector. Move point P belonging to the perpendicular to investigate different positions.
Each side of the triangle, as a segment, will have its corresponding bisector. This means that in a triangle can be drawn 3 bisectors.
If we consider a triangle ABC, and draw the bisectors of its three sides, we see that the three bisectors intersect at one point. That point is called
circumcenter of the triangle.
circumcenter PROPERTY
Using the property that is the bisector of a segment one can prove the property is the circumcenter of a triangle.
Use the slider i called the picture below to see the show.
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