SOLUTION: ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0). a). Find the equations of the right bisectors of the sides of triangle ABC. b). Show that the right bisectors of th

Algebra ->  College  -> Linear Algebra -> SOLUTION: ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0). a). Find the equations of the right bisectors of the sides of triangle ABC. b). Show that the right bisectors of th      Log On


   

Question 1110387: ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0).
a). Find the equations of the right bisectors of the sides of triangle ABC.
b). Show that the right bisectors of the sides of triangle ABC are concurrent.
Answer by Alan3354(69443) About Me  (Show Source):
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ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0).
a). Find the equations of the right bisectors of the sides of triangle ABC.
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For AB:
m = 3/2
Midpoint = (2,3)
Bisector line: y-3 = (3/2)*(x-2)
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Do BC and AC the same way.
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b). Show that the right bisectors of the sides of triangle ABC are concurrent.
Find the intersection point(s) of the 3 bisectors.