Tangent Spheres in a Corner

From my e-mail



__________ wrote:

Two spheres are placed in a corner of a room (beachball & orange). The spheres are tangent to each wall, to the floor, and to each other. Find the ratio of the radii of the larger sphere to the smaller.

How do you do this?


How would you help this person solve the problem?

Here is a picture:

Some other pictures? Click HERE.

Hint? Are you sure you need a hint? If so click HERE.


How would you create such a picture? with GSP? with a graphing program such as Graphing Calculator 3.5? Other software?


Do you have a solution for the ratio of the two radii? Can you verify that it is correct?

A. Yes. Next problem.

B. No. The stupid hint did not help. I need to see a write-up.