Answer:
3.6 cm
Step-by-step explanation:
Triangle Proportionality Theorem
BD : DE = BA : AC
⇒ 6 : 10 = BA : 16
⇒ [tex]\mathsf{\dfrac{6}{10} = \dfrac{BA}{16}}[/tex]
⇒ [tex]\mathsf{BA=\dfrac{6}{10} \times16}[/tex]
⇒ BA = 9.6
AD = BA - BD
⇒ AD = 9.6 - 6 = 3.6 cm
