Tangent spheres

A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it?

Additional info: Two spheres are placed in a corner of a room. The spheres are each tangent to the walls and floor and tangent to each other.

Result

r =  0.268 m

Solution:

Solution in text r =

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To solve this verbal math problem are needed these knowledge from mathematics:

Pythagorean theorem is the base for the right triangle calculator.

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