You mean something like
?
Being both externally tangent, try to prove a more general result: let be the radii of the circles, then
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.