- #1
zeion
- 455
- 1
Homework Statement
So these are line segments in triangles. I don't understand how they are different.
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Homework Help Overview
The discussion revolves around the differences between various line segments in triangles, specifically the altitude, median, and angle bisector. Participants are exploring their definitions and properties.
Discussion Character
- Conceptual clarification
Approaches and Questions Raised
- Participants describe the characteristics of the altitude, median, and angle bisector, with some providing visual aids to clarify their distinctions. There is a question raised about whether the median and angle bisector are the same.
Discussion Status
The discussion is active, with participants sharing definitions and seeking clarification on the relationships between the different types of line segments. There is an ongoing exploration of the concepts without a clear consensus yet.
Contextual Notes
Participants are working with visual representations to aid their understanding, indicating a reliance on images to clarify the geometric concepts being discussed.
So these are line segments in triangles. I don't understand how they are different.
- #2
QuarkCharmer
- 1,049
- 3
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)
- #3
QuarkCharmer
- 1,049
- 3
Actually, I found a much better image than my mspaint thing.
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.
- #4
zeion
- 455
- 1
So the median is not the same as the angle bisector?
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