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Pythagorean Theorem Discovery Proof 1

A right is illustrated in the activity with c as the hypotenuse and a and b as its legs. Each side of the right triangle has square attached to it. Follow the instructions below and answer the questions to discover the relationship between the sides of a right triangle.
Guide Questions:

1. Set the lengths of a and b to 3 and 4. What is the length of c?

2. Notice that the lengths of the sides of the triangle a b, and c are squared. What does that represent in the figure?

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  • A
  • B
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3. What are your observations about the sides of the right triangle? (Hint: find the relation between the squares of the sides of the triangle)

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  • A
  • B
  • C
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4. Change the lengths of a and b to any lengths you desire. Did you get the same observation from #3?

What is your conclusion about this activity?

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  • A
  • B
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Credits:

I will give credit to the original owner of this activity to Stephanie Bradford. I made modifications on your activity to match the needs of my learners.