Transcription of CHAPTER 9 The Pythagorean Theorem - Prek 12
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CHAPTER 9 The Pythagorean Theorem - Prek 12
CHAPTER9 But serving up an action, suggestingthe dynamic in the static, has become ahobby of mine .. The flowing on thatmotionless plane holds my attention to such adegree that my preference is to try and make it into a C. ESCHERW aterfall,M. C. Escher, 1961 2002 Cordon Art B. V. Baarn rights PythagoreanTheoremOBJECTIVESIn this CHAPTER you will discover the PythagoreanTheorem, one of the mostimportant concepts inmathematics use the PythagoreanTheorem to calculate thedistance between any two points use conjectures related tothe Pythagorean Theoremto solve problemsCHAPTER 9 The Pythagorean Theorem461 Escher has cleverly used right angles to form hisartwork known as Wa t e r f a l l.
is included below. You will complete another proof as an exercise. Paragraph Proof: The Pythagorean Theorem You need to show that a2 b2 equals c2 for the right triangles in the figure at left. The area of the entire square is a b 2 or a2 2ab b2. The area of any triangle is 1 2 ab, so the sum of the areas of the four triangles is 2ab. The area ...
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