Question

What reasoning can be used for the following: Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.
Premise The triangle is equilateral

Conclusion The sides of the triangle are 4 cm. A. Not valid premise


B.Law of Detachment


C. A. Conclusion does not follow the premise

D.Law of Syllogism,

Answer 1

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".