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luni, 20 octombrie 2025

https://artofproblemsolving.com/community/q1h3685566p36051307

 Let ABC be an isosceles triangle (AB = AC), D projection of C onto AB and M midpoint of CD. Let K and L be projections of A onto BM and CK respectively. Prove:
1) - AL<=AB/3
2) - Gasiti conditia de egalitate.




Geometria Super Top, Dong le Minh https://www.facebook.com/photo?fbid=4516632665291447&set=gm.2394306588006363&idorvanity=830782544358783

 Note: I came up with the following proof 53 years ago, during an exam; as the majority of solvers used the 3 concurrent circumcircles of th...