Answer:
AD = 7.2 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{AC}{AD}[/tex], substituting values
[tex]\frac{5}{6}[/tex] = [tex]\frac{6}{AD}[/tex] (cross- multiply )
5AD = 36 ( divide both sides by 5 )
AD = 7.2
