Possible Duplicate:
Euclidean Geometry Intersection of Circles
I always thought I was good at geometry (at least decent) until I saw this problem today. If anyone could help that would be awesome! I've spent $3 1/2$ hours on this single problem today!
We have points $A$ and $B$ on the lines $y=3$ and $y=12$, respectively. There are two circles that meet the following criteria:
1) They both pass through the points $A$ and $B$ 2) Both are tangent to the x axis at points $P$ and $Q$
If we are given that $PQ=2012$ how would we determine the distance $AB$ ? I would very much appreciate a solution!
thanks!