SOLUTION: Three points have coordinates A(2,9) B(9,7) and C(2,0). Find the equation of the perpendicular bisector of AB,Find the equation of the perpendicular bisector of BC,Find the point o

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Question 1177540: Three points have coordinates A(2,9) B(9,7) and C(2,0). Find the equation of the perpendicular bisector of AB,Find the equation of the perpendicular bisector of BC,Find the point of intersection of the two perpendicular bisectors.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
 A(2,9) 
 B(9,7)  MidP(5.5, 8)  m(AB) = (2/-7)
perpendicular bisector:  y-8 = (7/2)(x-11/2)  0r y = (7/2)x -45/4

B(9,7) and 
C(2,0)  MidP(5.5, 3.5)  m(AB) = (7/7) = 1
perpendicular bisector:  y-(7/2) = -(x-11/2) 0r  y = -x + 9

 -x + 9 = (7/2)x - 45/4
   x = 9/2   and y = 9/2
point of intersection of the two perpendicular bisectors is P(9/2,9/2)

Wish You the Best in your Studies.


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