[tex] \dfrac{AB}{4} = \dfrac{BC}{5} = \dfrac{AC}{6} = K[/tex]
[tex] \dfrac{AB}{4} = K [/tex]
AB = 4K
[tex] \dfrac{BC}{5} = K [/tex]
BC = 5K
[tex] \dfrac{AC}{6} = K [/tex]
AC = 6K
AB + BC + AC = 45 cm
4K + 5K + 6K = 45 cm
15K = 45
K = 45/15
K = 3
AB = 4K = 4*3 = 12 cm
BC = 5K = 5*3 = 15 cm
AC = 6K = 6*3 = 18 cm