roni said:LB is bisector of triangle ABC.
suppose, there is a new triangle that called AED.
alpha is a angle between LB to AD that is bisector of AED.
The triangles can be on any place in the plane.
What the value biggest angle (\(\displaystyle alpha\)) can be?
A change bisector in a triangle is a line segment that divides one side of the triangle into two equal parts, and also intersects the opposite side at a 90-degree angle. It is also known as a perpendicular bisector.
A regular bisector simply divides a line segment into two equal parts, while a change bisector specifically divides a side of a triangle into two equal parts and intersects the opposite side at a 90-degree angle.
To find the change bisector of a triangle, you can use the following steps:
1. Draw a line segment from the midpoint of one side of the triangle to the opposite vertex.
2. Draw a perpendicular line to this line segment at the midpoint.
3. The line of intersection between the perpendicular line and the original side of the triangle is the change bisector.
The change bisector in a triangle can be useful in many geometric constructions and calculations. It can also be used to find the circumcenter, incenter, and centroid of a triangle. Additionally, it helps to create symmetrical and balanced shapes.
Yes, a triangle can have three change bisectors, one for each side. These three lines will intersect at a point called the incenter, which is equidistant from all three sides of the triangle.