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.
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F.B. page of Erdem Balkan, https://www.facebook.com/photo?fbid=24428580853509491&set=a.949297615197812
My solution courtesy of Master Alin Pop solution to the nice lemma used for this purpose attached:
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