Guys?
Ok, I am having some trouble with 24. If someone could help me out, that'd be great.
A circle can be drawn through points X, Y, and Z. XW=8, YW=6, ZW=12.
Find the radius of the circle, and the distance from the center to point W.
I know the answers, 5 root 5, and root 29, respectively. The problem is that I am having some trouble reaching those answers.
Thanks! The problem is attached as well.
the center of the circle is going to be equidistant from X and Z. So what's that tell you about it's x coordinate.
Once you find that you have to find the y coordinate of the center by ensuring that the distance from the center to X is equal to the distance from the center to Y.
see if you can work it out now.
use coordinate geometry.
xz is the x axis
perpendicular bisector of xz is the y axis
write the equation of xy and its perpendicular bisector.This line passes thru the y axis at the center of circle.Radius and OW calculate easily