Răspuns:
a)BD/DC=9/16 AB²=BC•BD AC²=BC•DC AB²/AC²=BD/DC=9/16 AB/AC=3/4 AB=3AC/4 AB²/AC²=9/16 (AB²+AC²)/AC²=25/16 BC²/AC²=25/16 BC/AC=5/4 BC=5AC/4
3AC/4+5AC/4+AC=120 3AC=120
AC=40cm AB=30 cm BC=50cm
b)AD²=AB²-BD²=AC²-CD² CD²-BD²=1600-900
(CD+BD)(CD-BD)=700 50(CD-BD)=700 CD-BD=14 CD+BD=50
2CD=64=>CD=32 AD²=AC-DC²=1600-1024=576
AD=24cm
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