Răspuns
AB = 20 cm ; AC = 15 cm
Explicație pas cu pas:
Daca MN || BC => ΔABC ~ ΔAMN
ΔABC ~ ΔAMN => [tex]\frac{AN}{AC} = \frac{MN}{BC}[/tex] =>
AC = [tex]\frac{AN ori BC}{MN}[/tex] = [tex]\frac{12 ori 10}{8}[/tex] = 15 cm
NC = AC - AN = 15 - 12 = 3 cm
ΔABC ~ ΔAMN => [tex]\frac{MB}{AB} = \frac{NC}{AC}[/tex] =>
AB = [tex]\frac{AC ori MB}{NC}[/tex] = [tex]\frac{4 ori 15}{3}[/tex] = 20 cm
