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Buna seara ! Urgent clasa a7 a

Buna Seara Urgent Clasa A7 A class=

Răspuns :

DC=2 cm

AD=AC-DC=18-2=16 cm

DE║AB⇒

[tex]\frac{CD}{AC} =\frac{CE}{CB} =\frac{DE}{AB} \\\\\\\frac{2}{18} =\frac{CE}{14} =\frac{DE}{12}[/tex]

[tex]CE=\frac{28}{18} =\frac{14}{9} \\\\DE=\frac{24}{18}=\frac{12}{9} \\\\P_{DEC}=2+\frac{26}{9} =\frac{44}{9} \ cm[/tex]

DE║AB⇒

[tex]\frac{DF}{FB} =\frac{EF}{FA} =\frac{DE}{AB} \\\\\frac{EF}{FA} =\frac{DE}{AB}[/tex]

  • facem proportie derivata si obtinem

[tex]\frac{AF}{AE} =\frac{AB}{DE+AB} \\\\\frac{AF}{AE}=\frac{12}{\frac{12}{9} +12} \\\\\frac{AF}{AE}=\frac{12}{\frac{120}{9} } =\frac{9}{10}[/tex]

Vezi imaginea AndreeaP