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The Pythagorean Theorem

The Pythagorean Theorem. The square of the hypotenuse is equal to the sum of the squares of the two other sides: a 2 +b 2 =c 2. c. a. b. Remember that the area of a square is d 2. d. What is the area of this figure?. d.

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The Pythagorean Theorem

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  1. The Pythagorean Theorem • The square of the hypotenuse is equal to the sum of the squares of the two other sides: • a2+b2=c2 c a b

  2. Remember that the area of a square is d2 d What is the area of this figure? d

  3. Cut out the right triangles and the square and see if you can arrange them to be a square of area c2.

  4. Now rearrange them so that they form a region of area a2+b2 • What does this tell you?????

  5. From section 4.1 in your text: Work in your group on mindscapes 1-6 then 13-16. Finally, work on 22.

  6. Homework: • Section 4.1 mindscapes 7-12 and 18 and 19. Assume that the pizzas are perfect circles and remember that the area of a circle is A = Ar2. • Write a reflection on your experience with the Pythagorean Theorem.

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