Theo đề bài ta có: [tex]\frac{NA}{NB} = \frac{3}{2}[/tex]
=> [tex]\frac{NA}{NB + NA} = \frac{2}{3 + 2} = \frac{NA}{NB} = \frac{2}{5}[/tex]
=> [tex]NA = \frac{3}{5}AB= \frac{3}{5}.6 = 3,6 cm[/tex]
=> NB = AB - NA = 6 - 3,6 = 2,4 cm
Tương tự, ta có: [tex]\frac{MA}{MB} = \frac{3}{2}[/tex]
=> [tex]\frac{MA - MB}{MB} = \frac{3 - 2}{2} = \frac{1}{2} = \frac{AB}{MB}[/tex]
=> MB = 2.AB = 2.6 = 12 cm
=> MA = AB + MB = 18 cm