it says given is triangle ABC is a right triangle and prove a^2 +b^2 =c^2
the question is which is not a justification for the proof
The options for the justification that may not be appropriate for the proof are not provided, so it is not possible to determine which one is not suitable.
8. To what degree is Mr. Loisel also to blame for the misery he endures. Dig deep into your analysis of this character.
In Guy de Maupassant's short story "The Necklace," Mr. Loisel plays a crucial role in the events that lead to his and his wife's misery. While it is natural to sympathize with him initially, upon closer examination, it becomes evident that Mr. Loisel is partially responsible for the circumstances he finds himself in.
Firstly, Mr. Loisel's flaw lies in his desire to conform to societal expectations and portray a higher social status than his own. This flaw becomes apparent when he chooses to invite Mathilde to a high-class event, despite knowing her dissatisfaction with their modest lifestyle. Mr. Loisel's decision to bring Mathilde to the ball, despite financial constraints, demonstrates a lack of communication and understanding between them. He is aware of Mathilde's dreams, yet he fails to have an open and honest conversation about their limited means, ultimately contributing to their misery.
Furthermore, Mr. Loisel's character is portrayed as negligent and oblivious to his wife's emotional state. After the ball, when Mathilde confesses that she has lost the borrowed necklace, Mr. Loisel is quick to dismiss the issue and suggests that she go to her friend and explain the situation. Mr. Loisel fails to recognize the gravity of the situation and underestimates the consequences of losing such a valuable piece of jewelry. Instead of taking responsibility and actively participating in finding a solution, he shirks the burden to Mathilde.
Additionally, Mr. Loisel's subsequent actions, or rather lack thereof, amplify his contribution to their misery. When Mathilde decides to replace the lost necklace by purchasing a new one, Mr. Loisel could have intervened and suggested they explain the situation to their friend or explore alternative options. However, Mr. Loisel chooses to remain passive, allowing Mathilde to make decisions that plunge them into further debt. His passive nature demonstrates a lack of responsibility and inability to assert himself in difficult situations.
However, it is important to note that Mr. Loisel's actions are not inherently malicious or consciously harmful. Rather, his character showcases the flaws of societal expectations and the pressures individuals face to conform. He is a product of a society that places great importance on appearances and social standing. Nevertheless, his lack of proactive behavior and inability to communicate effectively with his wife contribute to their shared misery.
In conclusion, Mr. Loisel bears a significant degree of responsibility for the misery he endures alongside his wife. His desire to impress others, lack of communication, negligence, and passivity all contribute to the unfortunate circumstances they find themselves in. While societal pressures play a role in shaping Mr. Loisel's behavior, it is clear that his actions, or inaction, contribute to their misery.
The justification that is generally not considered valid for the proof of the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, is:
- "Because it has been observed to be true in many cases."
While empirical observations can suggest the truth of a mathematical statement, they do not provide a rigorous proof. A valid proof requires logical reasoning that is based on axioms, definitions, and previously established theorems within the mathematical system.