The bisector is a term used in geometry and is defined as a line that, when passing through an angle, divides it into two equal parts. geometrically, the points of the bisector are parallel, that is, they have the same distance in the rays of an angle.
It is important to highlight that the group of points placed on one side of the fixed point of the line is called a geometric place, it has an origin point and like all lines it expands towards infinity. In the same way, the point of the bisector will be of equal distance to the two lines of the angle, due to their correlation, when two lines intertwine they form four angles, where each one of them determines a bisector.
When the bisector is applied to a triangle, the three bisectors of the angles of the inner part of a triangle will be broken at a single point where they will be equivalent in relation to the sides, this point is called the incenter of the triangle, and represents the center of the circumference incorporated into the triangle. The incenter has a fundamental property, hence the origin of its name, it is "the center of the circumference incorporated into the triangle."
To elaborate the circumference incorporated into the triangle, the following must be taken into account:
- The bisectors are plotted first.
- With the intersection of the bisectors we will obtain the incenter
- From the incenter a line perpendicular to one of the sides will be drawn
- The circumference is designed with the center incenter and that it passes through the union with the perpendicular line to the side.
