Change bisector from one triangle to another

In summary, the conversation discusses a triangle ABC with a bisector LB, and a new triangle AED. Alpha is an angle between LB and AD, which is also a bisector of AED. The position of the triangles can vary on the plane, and the question is what is the maximum value of alpha.
  • #1
roni1
20
0
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?
 
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  • #2
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?

This description lacks clarity ... can you upload a sketch to better understand what you mean?
 

FAQ: Change bisector from one triangle to another

What is a change bisector in a triangle?

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.

How is a change bisector different from a regular 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.

How do you find the change bisector of a triangle?

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.

What is the purpose of a change bisector in a triangle?

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.

Can a triangle have more than one change bisector?

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.

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