The form of deductive reasoning used in the argument is the law of syllogism.
Deductive reasoning is logical reasoning that entails drawing one or more premises (factual statements) via a logical conclusion.
The Law of detachment asserts that if x → y; and x is true, then y is true.
The Law of syllogism is a type of deductive reasoning that occurs in three forms with a frequent term that occurs in the premise (here: triangle) but not in conclusion.
This is a striking feature that differentiates it from other forms of deductive reasoning.
Therefore, we can conclude that the form of deductive reasoning used in the argument is the law of syllogism.
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