x =3 and y = 4 , these two perpendicular bisectors will come together. These are the triangle’s circumcenter’s coordinates.

The sides of a triangle are divided into two equal portions by the perpendicular, which is parallel to the sides drawn from the opposing vertices.

The circumcenter of a triangle is the location where the three perpendicular bisectors of the triangle meet.

A(0, 0), B(0, 8), C(6, 0)

Circumcenter , P(x,y)

AP = BP = CP

AP² = BP²

(x – 0 )² + ( y – 8 )² = ( x- 0)² + ( y – 0 )²

x² + y² + 64 – 16y = x² + y²

 64 – 16y = 0

 16y = 64

     y = 4

BP = CP

BP² = CP²

(x – 0)² + ( y- 0 )² = ( x- 6)² + ( y – 0)²

x² + y² = x² 36 – 12x + y²

       36 – 12x = 0

         12x = 36

           x = 3

Learn more about perpendicular in triangle

#SPJ4