Help with difficult maths problem? Please help!!!

Help with difficult maths problem? Please help!!!



A ball of radius one is in a corner touching all three walls. Find the radius of the largest ball that can be fitted into the corner behind the given ball.

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I have managed to figure out that the distance between the centre of the larger ball to the corner is [sqrt(3) - 1], but I don t know where to go from here...

Many thanks in advance :)





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