Proof of The Pythagorean Theorem

Proof of The Pythagorean Theorem

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. It demonstrates this with an example using the values 3, 4, and 5, and provides a visual representation of the squared values. The tutorial concludes with a mathematical proof, showing that the theorem holds true by adding the squares of the legs and comparing it to the square of the hypotenuse.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the Pythagorean theorem state about the sides of a right triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate a squared and b squared in the context of the Pythagorean theorem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What numerical values are used in the example to prove the Pythagorean theorem?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the areas of the squares relate to the Pythagorean theorem.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the mathematical proof provided for the Pythagorean theorem in the text?

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