SOLUTION: Find the equations of the bisectors of the interior angles of the triangle bounded by the lines x=3, y=4 & x+y=2

Algebra ->  Equations -> SOLUTION: Find the equations of the bisectors of the interior angles of the triangle bounded by the lines x=3, y=4 & x+y=2      Log On


   

Question 1117310: Find the equations of the bisectors of the interior angles of the triangle bounded by the lines x=3, y=4 & x+y=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
.
.
.
.
Find all the points of intersection (vertices of the triangle),
A(-2,4)
B(3,4)
C(3,-1)
Find the midpoint of each segment,
x%5BAB%5D=%28-2%2B3%29%2F2=1%2F2
y%5BAB%5D=%284%2B4%29%2F2=4
Do the same for BC and AC.
Then find the slope of the line from the midpoint of the segment to the opposite vertex.
In the case of AB, it would be C.
m%5BC%5D=%284-%28-1%29%29%2F%281%2F2-3%29=%284%2B1%29%2F%28-5%2F2%29=-2
Use the point-slope form of a line with either point,
y-%28-1%29=-2%28x-3%29
y%2B1=-2x%2B6
y%5BC%5D=-2x%2B5
.
.
.
.
.
.
.
Follow the same procedure for the other two vertices.