Răspuns:
[tex]\color{red}\Large\boxed{\bf AC = 7}[/tex]
[tex]\color{blue}\Large \boxed{\bf FC =3}[/tex]
Explicație pas cu pas:
Buna!
AE = 8
EB = 6
AF = 4
EF ║ BC
FC = ? ; AC = ?
AB = AE + EB
AB = 8 + 6
AB = 14
[tex]\large\bf \Delta AEF ~\sim~ \Delta ABC\implies \dfrac{AE}{AB} =\dfrac{AF}{AC} =\dfrac{EF}{BC}[/tex]
[tex]\large\bf \dfrac{AE}{AB} =\dfrac{AF}{AC} \implies AC = \dfrac{AB \cdot AF}{AE} \implies[/tex]
[tex]\large\bf AC = \dfrac{14 \cdot 4}{8} \implies AC = \dfrac{\not56}{\not8} \implies \boxed{\bf AC = 7}[/tex]
[tex]\large\bf FC = AC -AF \implies FC = 7-4 \implies \boxed{\bf FC =3}[/tex]
Bafta multa!
P.S.: Te rog sa glisezi spre stânga pentru a vedea toata rezolvarea daca esti pe telefon
==pav38==
