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9.3 The converse of the Pythagorean thm

9.3 The converse of the Pythagorean thm. How do I use the Converse of the Pythagorean Theorem to solve problems? How do I use side lengths to classify triangles by their angle measures?. Thm 9.5 converse of the Pythagorean thm. If c 2 =a 2 +b 2 , then Δ ABC is a right Δ. B. c. a. A. C.

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9.3 The converse of the Pythagorean thm

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  1. 9.3 The converse of the Pythagorean thm How do I use the Converse of the Pythagorean Theorem to solve problems? How do I use side lengths to classify triangles by their angle measures?

  2. Thm 9.5converse of the Pythagorean thm • If c2=a2+b2, then Δ ABC is a right Δ. B c a A C b

  3. ExampleAre the Δs right Δs? 7 10 6 13.4 12 13.42=102+72 179.56=100+49 179.56=149 36*5=36+144 180=180

  4. Thm 9.6 • If c2<a2+b2, then the Δ is acute. A c b C B a

  5. Thm 9.7 • If c2>a2+b2, then the Δ is obtuse. A c b B a C

  6. Example Can the given side lengths form a Δ and if so, what kind of Δ would it be? 3.2, 4.8, 5.1 Yes, they form a Δ (by the Δinequal. Thm) 3.2+4.8>5.1; 4.8+5.1>3.2; and 3.2+5.1>4.8 What kind of Δ? 5.12___4.82+3.22 26.01___23.04+10.24 26.01___33.28 acute <

  7. AssignmentWS 9.3B #2-16 even, 17,18

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