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The Pythagorean theorem

The Pythagorean theorem. Algebra 1 CP. Warm up. Draw a right triangle. What characteristics do you know about it? Angles? Sides?. Right triangle Pythagorean theorem. Example 1. A right triangle has legs of lengths 9cm and 12cm. What is the length of the hypotenuse?.

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The Pythagorean theorem

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  1. The Pythagorean theorem Algebra 1 CP

  2. Warm up • Draw a right triangle. What characteristics do you know about it? Angles? Sides?

  3. Right triangle Pythagorean theorem

  4. Example 1 • A right triangle has legs of lengths 9cm and 12cm. What is the length of the hypotenuse?

  5. Fire Rescue • A fire truck parks 16ft away from a building. The fire truck extends its ladder 30 ft. How far up the building from the truck’s roof does the extension ladder reach?

  6. The converse of the pythagorean theorem • If a2 + b2 = c2, then the triangle is a right triangle.

  7. Example 3 • A triangle has sides of lengths 7, 9, and 12. Is it a right triangle?

  8. Homework • P. 416-417 #1-13 odd, 21-24

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