Hello, dgolverk!

Your intersection point is incorrect . . .

. . . no

Since is vertical and its midpoint is ,

. . its perpendicular bisector is the horizontal line:

The slope of is: .

The perpendicular slope is: .

The line through with slope is:

. .

The two perpendicular bisectors: and

. . intersect when: .

Therefore, the intersection point is: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

We must verify that is equidistant from

Distance formula

The distance between and is: .

Distance from to

. .

Distance from to

. .

Distance from to

. .

. . . There!