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GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 2

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A sufficient condition for a triangle $T$ be a right triangle is that $a^2+b^2=c^2$. An equivalent statement is

  1. If $T$ is a right triangle then $a^2+b^2=c^2$.
  2. If $a^2+b^2=c^2$ then $T$ is a right triangle.
  3. If $a^2+b^2\neq c^2$ then $T$ is not a right triangle.
  4. $T$ is a right triangle only if $a^2+b^2=c^2$.
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5 Answers

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Correct answer for this question will be:

$a^2 + b^2 = c^2 \rightarrow T\ is\ a\ right\ triangle$

that is, if P, then Q

P: $a^2 + b^2 = c^2$
Q: $T\ is\ a\ right\ triangle$

Option A: Q -> P

Option B: P -> Q

Option C: not P -> not Q. It is also equivalent to Q -> P

Option D: Q only if P, that means, it is Q -> P

Only OPTION B is CORRECT
 

P.S
Option A, C and D are equivalent

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