Question

what is the circumcenter of triangleABC with vertices A(-7,0) B(-3,8) and C(-3,0)

Answer 1

The circumcenter of a triangle is where all the perpendicular bisectors of the sides intersect.

Answer 2

You need to get the equations of the perpendicular bisectors of two sides. Then solve them simulatneously to get their point of intersection which is the circumcenter of the triangle.

Answer 3

Thanks so much for the help

Answer 4

Can you continue?

Answer 5

I think I am looking for the equation of a perpendicular bisect

Answer 6

Take vertices A and B.
First find the midpoint of AB since the perpendicular bisector passes through that midpoint.
Then find the slope of segment AB.
Then the slope of the perpendicular bisector is the negative reciprocal of the slope of AB.
You also know the perpenduicular bisector passes through the midpoint whose coordinates you already know.
This will give you the equation of the perpendicular bisector of segment AB.

Then take another two vertices and do the same.

Then take the two equations of the perpendicular bisectors and solve them simultaneously.

Answer 7

ok i will try that and if i get stuck I will let you know

Answer 8

ok