Comparing Line Segments in Triangles

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The discussion clarifies the differences between three types of line segments in triangles: altitudes, medians, and angle bisectors. An altitude is defined as a line segment from a vertex perpendicular to the opposite side, while a median connects a vertex to the midpoint of the opposite side. The angle bisector divides the angle at a vertex into two equal parts. It is emphasized that the median and angle bisector are distinct concepts. Understanding these differences is crucial for solving related geometry problems effectively.
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Homework Statement



So these are line segments in triangles. I don't understand how they are different.

Homework Equations





The Attempt at a Solution

 
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1zgldu.jpg


The altitude is a line from some vertex to the other side of the triangle (first pic). The median is a line from some vertex to the middle of the side across from it (middle pic). The bisecting angle or whatever it's called is simply a line cast in the direction of 1/2 the angle (last pic)
 


Actually, I found a much better image than my mspaint thing.

image003.gif


Consider this triangle ABC

The line from A, straight down is the altitude. The one from A to the middle of the base (close to the a), is the median, and the one that is 1/2 the angle of BAC is the bisector.
 


So the median is not the same as the angle bisector?
 

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