Line segments AB, CD, and EF are all chords of a sphere. AB, CD, and EF all mutually orthogonal to each other and all intersect at point G.

Given that AG=1, CG=2, EF=3, FG=4; what is the radius of the sphere?

I partially solved this then came back here to check something when I noticed EF=3, FG=4 doesn't make sense.  G must be between E and F, so EF>FG.  

Posted by Jer on 2019-05-13 15:54:02