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9.3 Converse of a Pythagorean Theorem

Learn about triangle classification based on their sides and the Converse of the Pythagorean Theorem. Understand how to determine if a triangle is acute, obtuse, or right, and when a triangle cannot be formed. Homework problems provided.

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9.3 Converse of a Pythagorean Theorem

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  1. 9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides

  2. 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.

  3. Theorem If c2 is less then a2 + b2, then the triangle is Acute

  4. Theorem If c2 is greater then a2 + b2, then the triangle is Obtuse

  5. 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?

  6. What type of Triangle Sides

  7. What type of Triangle Sides

  8. What type of Triangle Sides

  9. What type of Triangle Sides

  10. What type of Triangle Sides

  11. What type of Triangle Sides

  12. What type of Triangle Sides

  13. What type of Triangle Sides

  14. Homework Page 546 – 549 # 8 – 25, 26, 28, 36, 37, 40, 47 - 54

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