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In triunghiul ABC, E apartine lui (AB), F apartine (AC),astfel incat AE/AB= 2/5 si EF || BC.
Daca AB=15 cm si AF=12 cm,determinati AE,EB,AC,FC.
Va rog mult!!


Răspuns :

EF||BC ⇒ Teorema lui Thales
AE/AB=AF/AC=2/5
AE/AB=2/5 ⇒ AE/15=2/5⇒ AE= 15*2/5=30/5=6 cm ⇒ EB=15-6=9 cm
12/AC=2/5 ⇒ AC=12*5/2=30 cm FC=30-12=18 cm
AE =6 Centimetri (15/5=3*2=6)
AB / AE =AC / AF
Ac=15*12/6=30 Centimetri
Eb=15-6=9 Centimetri
Fc=30-12=18 centimetri 
Sper ca te am ajutat!