Special Right Triangles

1. Special Right Triangles

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

4. Get out a dollar bill if you have one! What kind of triangle is this? If you split this triangle down the middle (top to bottom) what two triangles would you have?

5. Essential Question • How do I find the side lengths of a 30-60-90 special right triangle? • How do I find the side lengths of a 45-45-90 special right triangle?

6. 30°-60°-90° Triangle Theorem

7. Find all side lengths for each triangle. Please draw the triangles on your paper. 1. 60º 18 3. 30º 30º 12 60º 2. 60º 20 30º

8. Warm-Up (will be collected) Find all side lengths for each triangle. Please draw the triangles on your paper and box your answers. 1. 60º 26 2. 30º 30º 83 3. 60º 30º 9 60º

9. 45°-45°-90° Triangle Theorem

10. Example 1 • Find the value of x.

11. You Try! • Find the value of x.

12. Example 2 • Find the value of x.

13. You Try! • Find the value of x.

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

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