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?

(In reply to Error in the problem? by Jer)

Yes that is an error and your assumption is correct.  EF=3 should indeed be EG=3.

Posted by Brian Smith on 2019-05-13 23:26:03