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8 3 Pythag Converse
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8 3 Pythag Converse

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  • 1. 8-3 The Converse of the Pythagorean Theorem
  • 2. The Converse of the Pythagorean Theorem
      • DON’T WRITE THIS!
      • If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
  • 3. The Converse of the Pythagorean Theorem If c 2 = a 2 + b 2 Then right
  • 4. The Converse of the Pythagorean Theorem
    • Example
      • Is this a right triangle?
    7 8  113
  • 5. The Converse of the Pythagorean Theorem
    • Example
      • How about this one?
    15 36 4  95
  • 6. The Converse of the Pythagorean Theorem
    • DON’T WRITE THIS EITHER!
      • If the square of the length of the longest side of a triangle is less than the sum of the square of the lengths of the other two sides, then the triangle is acute .
  • 7. The Converse of the Pythagorean Theorem If c 2 < a 2 + b 2 Then Acute
  • 8. The Converse of the Pythagorean Theorem
    • YOU KNOW WHAT TO DO!
      • If the square of the length of the longest side of a triangle is greater than the sum of the square of the lengths of the other two sides, then the triangle is obtuse .
  • 9. The Converse of the Pythagorean Theorem If c 2 > a 2 + b 2 Then Obtuse
  • 10. The Converse of the Pythagorean Theorem
    • Example
      • Are these side from a right, acute, or obtuse triangle?
          • 38, 77, 86
  • 11.
    • SPICSA page 297 2-14 even
    The Converse of the Pythagorean Theorem