2
$\begingroup$

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!

  • 0
    This is a repeated question http://math.stackexchange.com/questions/113344/euclidean-geometry-intersection-of-circles Moderators please delete2012-02-28

0 Answers 0