MHB Change bisector from one triangle to another

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The discussion revolves around the geometric relationship between two triangles, ABC and AED, with a focus on the angle alpha formed by the bisector LB of triangle ABC and the bisector AD of triangle AED. Participants express the need for a clearer understanding of the configuration, suggesting that a sketch would aid in visualizing the problem. The main inquiry is to determine the maximum possible value of angle alpha. The conversation highlights the importance of visual aids in comprehending complex geometric scenarios. Overall, clarity in geometric discussions is essential for effective problem-solving.
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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 ($$alpha$$) can be?
 
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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 ($$alpha$$) can be?

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

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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