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 =
c2 – 42 = 42
a = 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?