Final answer:
Ms. Smith is using the central route to persuasion while Mr. Henderson is using the peripheral route.
Step-by-step explanation:
The first lawyer, Ms. Smith, is using the central route to persuasion by presenting logical and relevant arguments to persuade the jury. The central route relies on using data and facts to convince people of an argument's worthiness. On the other hand, Mr. Henderson is using the peripheral route to persuasion by trying to persuade the jury through superficial factors such as his appearance and expensive suit. This route focuses on non-logical factors to influence people's attitudes and behaviors.