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Alle20
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Fie punctele E si F pe segmentul [AB] , astfel incat AE/EB = 5/11 si AF/FB = 3/5 . Valoarea raportului EF/BE este egala cu ...


Răspuns :

Mikkka
AE/EB=5/11⇒ AE/AE+EB= 5/5+11⇒ AE/AB = 5/16⇒ EB/AB=11/16
AF/FB=3/5⇒ AF/AF+FB= 3/3+5⇒ AF/AB= 3/8⇒ FB/AB=5/8
EF=AF-AE
AF=3AB/8 si AE=5AB/16
EF=6AB/16-5AB/16= AB/16
BE=11AB/16
EF/BE=AB/16 : 11AB/16=AB/16*16/11AB= 1/11