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Understanding Special Right Triangles: 45-45-90 | Patterns, Theorem & Examples

Explore the properties of 45°-45°-90° triangles, discover the pattern, and understand the theorem. Learn how to identify and work with these special triangles through examples and helpful hints.

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Understanding Special Right Triangles: 45-45-90 | Patterns, Theorem & Examples

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  1. Special Right Triangles 45-45-90

  2. Some example problems… What do you notice? Is there a pattern?

  3. General 45°-45°-90° Triangle

  4. 45°-45°-90° Triangle Theorem • In a 45°-45°-90° triangle, both legs are congruent and the length of the hypotenuse is the length of a leg times

  5. How do you know it is 45°-45°-90°? • Answer: it’s ISOSCELES! • Three different pictures: 45° 45°

  6. Examples

  7. Helpful Hints • To go from one leg of the triangle to the hypotenuse, multiply by • To go from the hypotenuse to one leg of the triangle, divide by • You have to RATIONALIZE after you divide by SO…multiply by and divide by 2

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