1. Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 = 6 2 + 6 2 2. c 2 - 4 2 = 4 2 3. c 2 -100= 4. a 2 +8 2 = 256 5.

2. Answers to 9.1 practice B

3. Homework answers 9.2 C

4. 9.3 B

6. Simplify the following radicals: 4. 5. 6. 1.1 1. 1 1.1 2. 1 1.1 3. 1

7. 45-45-90 30-60-90 Special Right Triangles

8. Theorem 9.8: 45 0 - 45 0 – 90 0 Triangle Theorem In a 45 0 - 45 0 – 90 0 triangle, the hypotenuse is times as long as each leg. x x x 45 0

9. 6 6 x x x Find x 20

10. Theorem 9.9: 30 0 - 60 0 – 90 0 Triangle Theorem In a 30 0 – 60 0 - 90 0 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as shorter leg. x x 2x 60 0 30 0

11. y 12 x 60 0 30 0 x y 60 0 30 0 10 x y 60 0 30 0