Conversation Between Teacher and Student

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Conversation Between Teacher and Student


Conversation Between Teacher and Student


 Teacher: Good morning, class. Let's start with today's lesson. Can anyone tell me what the Pythagorean theorem is?


Student: Is that the formula used to find the length of the sides of a right-angled triangle?


Teacher: Yes, exactly. Would you like to share with us how to use it to find the length of the hypotenuse?


Student: Sure, the formula is a² + b² = c², where a and b are the lengths of the two legs of the right-angled triangle, and c is the length of the hypotenuse. So, to find the length of the hypotenuse, we need to take the square root of the sum of the squares of the two legs.


Teacher: Excellent explanation. Can you give an example of how we can apply this formula?


Student: Sure, let's say we have a right-angled triangle with legs of 3cm and 4cm. To find the length of the hypotenuse, we use the Pythagorean theorem. So, 3² + 4² = c², which is 9 + 16 = c². Therefore, c² = 25, and c is the square root of 25, which is 5cm. So, the length of the hypotenuse is 5cm.


Teacher: Great job! You've got it. Keep up the good work, and don't hesitate to ask if you have any questions.

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