Download - Pythagorean Theorem

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Page 1: Pythagorean Theorem
Page 2: Pythagorean Theorem
Page 3: Pythagorean Theorem

a

b

c

a = altitudeb = basec = hypotenuse

Page 4: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Page 5: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Page 6: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Page 7: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Area of each rectangle is ab

Page 8: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 9: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Page 10: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 11: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 12: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 13: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 14: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 15: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 16: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Sum of areas = 2ab

Page 17: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

a - b

Sum of areas = 2ab

Page 18: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

a - b

Area = (a - b)2

Sum of areas = 2ab

Page 19: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

a - b

Area = (a - b)2

Sum of areas = 2ab

Total area = c2

Page 20: Pythagorean Theorem

a = altitudeb = basec = hypotenuse

Area = (a - b)2

Sum of areas = 2ab

Total area = c2

c2 = (a - b)2 + 2ab

Page 21: Pythagorean Theorem

Sum of areas = 2ab

a = altitudeb = basec = hypotenuse

Area = (a - b)2

Total area = c2

c2 = (a - b)2 + 2ab

c2 = a2 - 2ab + b2 + 2ab

c2 = a2 + b2