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Special Right Triangles

Special Right Triangles. Essential Question. How do I find the side lengths of special right triangles?. Activator. Solve. Assume all variables are positive. c 2 = 6 2 + 6 2 c 2 – 4 2 = 4 2 a 2 + 8 2 = 256. Definition.

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Special Right Triangles

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  1. Special Right Triangles

  2. Essential Question • How do I find the side lengths of special right triangles?

  3. Activator • Solve. Assume all variables are positive. • c2 = 62 + 62 • c2 – 42 = 42 • a2 + 82 = 256

  4. Definition • Special Right Triangles – right triangles whose angle measures are 45°-45°-90° or 30°-60°-90°.

  5. 45°-45°-90° Triangle Theorem

  6. 30°-60°-90° Triangle Theorem

  7. Example 1 • Find the value of x.

  8. You Try! • Find the value of x.

  9. Example 2 • Find the value of x.

  10. You Try! • Find the value of x.

  11. Example 3 • Find the values of s and t.

  12. You Try! • Find the values of f and g.

  13. Summarizer • Can the side lengths of a 45°-45°-90° triangle form a Pythagorean Triple?

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