Question

Fie abc un triunghi,d apartine ab,e apartine ac,de paralel bc.Daca ad=4cm,bd=7cm,ae=7cm,calculati ec,ac

Answer 1

In ΔABC,DE║BC=>(pe baza teoremei fundamentale a asemanarii)
ΔADE≈ΔABC=>AD/AB=DE/BC=AE/AC=>AD/AB=AE/AC=>
=>4/(4+7)=7/AC=>AC=(11*7)/4=19,25
AC=AE+EC=>19,25=7+EC=>EC=12,25