9.3 Converse of a Pythagorean Theorem

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9.3 Converse of a Pythagorean Theorem

• Classifying Triangles by their sides

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Converse of the Pythagorean Theorem

• If the square of the longest side is equal to the
  sum of the squares of the other sides then the
  triangle is a Right triangle.

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Theorem

• If c2 is less then a2 b2, then the triangle is
  Acute

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Theorem

• If c2 is greater then a2 b2, then the triangle
  is Obtuse

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The Gift Wrapping Principle

• If you are trying to find out what type of
  triangle can be made from the given sides and the
  smaller sides sum is not greater then the largest
  side, then a triangle can not be made.
• Do you remember going over this around Christmas?
  

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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What type of Triangle

• Sides

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Homework

• Page 546 549
• 8 25, 26, 28,
• 36, 37, 40,
• 47 - 54