Answer:
AB = [tex]\frac{108}{7}[/tex]
Step-by-step explanation:
Δ ALM and Δ ACB are similar, then the ratios of corresponding sides are equal, that is
[tex]\frac{AM}{AB}[/tex] = [tex]\frac{AL}{AC}[/tex] , substitute values
[tex]\frac{12}{AB}[/tex] = [tex]\frac{14}{18}[/tex] = [tex]\frac{7}{9}[/tex] ( cross- multiply )
7AB = 108 ( divide both sides by 7 )
AB = [tex]\frac{108}{7}[/tex] ( = 15 [tex]\frac{3}{7}[/tex] )
