Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 = c = c = 4. a =

Answers to 9.1 practice B

Homework answers 9.2 C

9.3 B

Simplify the following radicals:

Special Right Triangles

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

6 6 x x x Find x 20

Theorem 9.9: – 90 0 Triangle Theorem In a 30 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

y 12 x x y x y