The Pythagorean Theorem

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Presentation transcript:

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

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

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

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

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

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.