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Pythagorean theorem 2012 13 edmodo
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Pythagorean theorem 2012 13 edmodo

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Transcript

  • 1. Pythagorean Theorem
  • 2. Right Triangles• What are the parts of a right triangle?
  • 3. e us t en pohy leg leg
  • 4. Right Triangles• What are the parts of a right triangle?
  • 5. Square Activity• Draw a right triangle with sides of 3 and 4 units• Draw a square using each side as a base• What is the area of the first square?• What is the area of the second square? 3 4
  • 6. • What is the area of the third square? ? 3 4
  • 7. The Pythagorean theorem statesthat in a right triangle, the sum ofthe squares of the lengths of thelegs is equal to the square of thelength of the hypotenuse.
  • 8. Pythagorean Theorem a +b =c 2 2 2• c is the length of the hypotenuse• a and b are the lengths of the legs a2 c a b b2
  • 9. Square Activity• Draw a right triangle with sides of 4 and 4 units• Draw a square using each side as a base• What is the area of the first square?• What is the area of the second square? 4 4
  • 10. A = 4B = 3Find cHint: usea2 + b 2 = c 2
  • 11. Example:Find the missing length.
  • 12. a = 18, b = 24 a +b = c 2 2 218 + 24 = c 2 2 2 324 +576 = c 2 900 = c 2 900 = c 2 30 = c
  • 13. Why is this important?

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