Question 1177540
<pre><font face = "consolas" color = "indigo" size = 3><b>
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.
{{{drawing(300,300,    -20,20,-20,20, 
 grid(1),
circle(9/2,9/2,0.4),
circle(0,9,0.4),
red(line(9,7,2,0)),
red(line(2,9,9,7)),
graph( 300, 300, -20,20,-20,20,0, -x + 9, (7/2)x -45/4))}}}

</font></b></pre>