Pythagorean Theorem
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Pythagorean Theorem. a = altitude b = base c = hypotenuse. c. a. b. a = altitude b = base c = hypotenuse. a = altitude b = base c = hypotenuse. a = altitude b = base c = hypotenuse. a = altitude b = base c = hypotenuse. Area of each rectangle is a b. a = altitude b = base - PowerPoint PPT Presentation
Transcript of Pythagorean Theorem
a
b
c
a = altitudeb = basec = hypotenuse
a = altitudeb = basec = hypotenuse
a = altitudeb = basec = hypotenuse
a = altitudeb = basec = hypotenuse
a = altitudeb = basec = hypotenuse
Area of each rectangle is ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
a - b
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
a - b
Area = (a - b)2
Sum of areas = 2ab
a = altitudeb = basec = hypotenuse
a - b
Area = (a - b)2
Sum of areas = 2ab
Total area = c2
a = altitudeb = basec = hypotenuse
Area = (a - b)2
Sum of areas = 2ab
Total area = c2
c2 = (a - b)2 + 2ab
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
