SOLUTION: Three points have coordinates A(2,9) B(9,7) and C(2,0). Find
a) the equation of the perpendicular bisector of AB,
b) the equation of the perpendicular bisector of BC,
c) the poi
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Question 1177470: Three points have coordinates A(2,9) B(9,7) and C(2,0). Find
a) the equation of the perpendicular bisector of AB,
b) the equation of the perpendicular bisector of BC,
c) the point of intersection of the two perpendicular bisectors.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
AB has a midpoint of (5.5, 8)
the slope of AB is -2/7
the equation of the line is y-y1=m(x-x1) m slope (x1, y1) point
this is at y-9=(-2/7)(x-2)
y=(-2/7)x+67/7
-
the perpendicular bisector of this line has slope 7/2 and the point is (11/2, 8)
y-8=(7/2)(x-11/2)
y=(7/2)x-45/4
-
BC has a midpoint of (5.5, 3.5)
slope is 1
equation is y=x-2
perpendicular bisector has slope -1 and its equation of y-3.5=-1(x-5.5)
y=-x+9
first graph are lines AB and BC
second is perpendicular bisector of AB
third is perpendicular bisector of BC
last is graph of the perpendicular bisectors
equation of perpendicular bisector of AB is y=(7/2)x-45/4
of BC it is y=-x+9
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