A Very Nice Geometry Problem | Two Intersecting Circles | Important Geometry Skills Explained

[@spacer999]

Let EG=x, FE=10-x. Apply intersecting chord formula to both circles: CE*ED=(9+x)(10-x)=×(16-x) 90+x-x^2=16x-x^2 --> x =6

[@AAZ3000]

A dark theme looks much better 😊

[@RAG981]

I am sorry. That was awful. I did it exactly like spacer999 did, and it was no problem at all.