We are given statements : Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.
Premise: The triangle is equilateral.
According to law of Detachment : Statement 1: If q, then q.
and Statement 2: p
Conclusion: q.
According to given reasoning :
p : If the sides of a triangle are all 4 cm.
q : Then the triangle is equilateral.
Therefore, Statement 1 : If( the sides of a triangle are all 4 cm), then (the triangle is equilateral).
Statement 2: (the triangle is equilateral).
Conclusion : The sides of the triangle are 4 cm.
Therefore, option B is correct "Law of Detachment".