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## 8-1 The Pythagorean Theorem and Its Converse

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**Learning GoalTo use the Pythagorean Theorem and its**converse.**Pythagorean Theorema2 + b2 = c2The right angle touches the a**and b.**Pythagorean Theorem:a2 + b2 = 2**c c a b**Pythagorean Theorem:a2 + b2 = 2**c 5 3 x**Pythagorean Theorem:32+ x2= 2**c 5 3 x**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c2**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c2Which number goes in the c spot?**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c2Which number goes in the c spot?Why?**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c292 + 122 = 162**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256**ExampleIs a triangle with side lengths 9, 12 and 16 a right**triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256No**When you plug the 3 sides of a triangle into the Pythagorean**theorem, if the c2 is larger then it is an obtuse triangle. If it is smaller then it is an acute triangle.**Examplea2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256Is**this triangle Acute or Obtuse?**Examplea2 + b2 = c292 + 122 = 16281 + 144 = 256225 =**256Obtuse**Turn to page 495.2, 3, 138-10, 19-30, 33, 36-385 Points:**100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete 1 Point: 20% Complete