Răspuns:
a) 20 cm
b) 16 cm
c) 3/2
Explicație pas cu pas:
[tex] MB = \frac{AB}{2}\\ \\ BN = \frac{BC}{2} \\ \\ MN = MB + BN = \frac{AB}{2}+\frac{BC}{2} = \frac{AB+BC}{2} = \frac{AC}{2}\implies AC = 2\cdot MN = 2\cdot 10 = 20\:cm\\ \\ AC = AB + BC = AB + 4\cdot AB = 5AB \implies AB = \frac{AC}{5} = \frac{20}{5} = 4\:cm\\ \\ BC = AC - AB = 20\:cm - 4\:cm = 16\:cm\\ \\ MC = MB + BC = \frac{4}{2} + 16 = 2+16 = 18\:cm\\ \\ AN = AB + BN = 4 + \frac{16}{2} = 4+8 = 12\:cm \\ \\ \frac{MC}{AN} = \frac{18}{12} = \frac{3}{2}[/tex]
