Fig. shows circles which are just touching. Find x by using pythagoras theorem.
I believe they're tangential circles.
Here's the figure:
p.s. i am a bit bad at drawing on pc. :P
It regrettable that you did not pickup on Krizalid’s suggestion.
I do not think that he misunderstood the x (though I wish he had used say y).
That is the horizontal distance between the centers in terms of the radii: .
Now the x in the original problem is .
That is an elegant formula.
Note:
After being able to solve few similar problems, I'm stuck again on a problem of somewhat similar nature.
I can't seem to comprehend this circles tangent thing I assume. Here I have to find h using pythagoras theorem again.
Attached is the image of circles.