Explicație pas cu pas:
a)
[tex]AM = MC => AC = 2×MC \\ CN = NB => CB = 2×CN[/tex]
[tex]AB = AC + CB = 2×MC + 2×CN = 2(MC + CN) = 2 \times MN[/tex]
[tex]=> MN = \frac{1}{2} AB[/tex]
b)
[tex]AM = MC = \frac{AC}{2} = \frac{10}{2} = 5 cm[/tex]
[tex]CB = AB - AC = 16 - 10 = 6 cm[/tex]
[tex]CN = \frac{CB}{2} = \frac{6}{2} = 3 cm[/tex]
distanta:
[tex]d = \frac{AM}{2} + MC + \frac{CN}{2} = \frac{5}{2} + 5 + \frac{3}{2} = \frac{8}{2} + 5 = 4 + 5 = 9 cm[/tex]