Equations for Symmetric Lines in Triangle ABC

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Homework Help Overview

The problem involves finding the equations of the lines corresponding to the other two sides of triangle ABC, given the equations of the symmetric lines related to two inner angles and one side of the triangle. The context is centered around geometric properties and relationships within triangles.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to identify points and relationships between the given lines and triangle sides. Some participants question the terminology used, specifically regarding the meaning of "symmetric lines" and whether it refers to angle bisectors.

Discussion Status

The discussion is ongoing, with participants seeking clarification on terminology and the original poster providing some initial findings. There is no explicit consensus yet, and the exploration of the problem continues.

Contextual Notes

There may be constraints related to the definitions of symmetric lines and angle bisectors, as well as the specific geometric properties of triangle ABC that are under discussion.

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Homework Statement



The equations of the symmetric lines of two inner angles of triangle ABC are given:

x+4=0 and 4x+7y+5=0, and the equation of the line of one of the sides of the triangle is

given 3x+4y=0 (which goes through the points of the side where the symmetric lines are

going). Find the equations of the lines which are going among the other two sides of the

triangle.

Homework Equations




[tex]d=\frac{|Ax + By + C|}{|\sqrt{A^2+B^2}|}[/tex]


The Attempt at a Solution



I found one of the dots A(-4,3). Also I find that the lines are going through the point (0,0)
 
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By "symmetric line" of an angle, do you mean the angle's bisector?
 
HallsofIvy said:
By "symmetric line" of an angle, do you mean the angle's bisector?

yes, sorry for mistranslation.
 
anybody know?
 

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