Shortlist 2008,problema a 5-a

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Sorin
Arhimede
Posts: 7
Joined: Sat Jul 19, 2008 10:52 am
Location: Timisoara

Shortlist 2008,problema a 5-a

Post by Sorin »

In paralelipipedul dreptunghic ABCDA'B'C'D',M si N sunt centrele fetelor A'B'C'D' si ADD'A'.Aratati ca,daca AM \( \perp \) A'C si C'N \( \perp \) BD', atunci paralelipipedul este cub.

Petre Batranetu,Galati
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