1. 8.1 Radicals/Geometric Mean

2. Radicals: ____________
_____________________________________
____________________________________

3. Rules for Radicals:
_________________________________
________________________________

4. Rationalizing: ___________________________
_______________________________________
Geometric Mean: ________________________
____________________________________

5. Find the geometric mean of 9 and 4:

6. Corollary 1: _________________________
___________________________________ a y x

7. Corollary 2: _________________________
___________________________________ s1 s2 x y z

8. Solve for x, y and a: x y a 16 9

9. 8.2 Pythagorean Theorem

10. Theorem 8.2: _____________________
___________________________________ c a b

11. Examples: 10 m 5 5 y
m-1

12. 15 13 13 x 25

13. 8.3 Converse of the Pythagorean Theorem

14. Theorem 8.3: ___________________________
_______________________________________
___________________________________
There are a lot of standard families of right triangles.
Make your life easier and memorize the head of each family.

15. 3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25
Memorize the Read ones!!

16. Examples: 13 50 5 14 y x

17. What happens if it is not a right triangle?
_______________________________________
________________________________________

18. Examples: Tell what kind of Triangle.

19. 8.4 Special Right Triangles

20. Theorem 8.6: ________________________
___________________________________ 45 45

21. Theorem 8.7: _______________________
___________________________________ 60 30

22. Examples: 45 12 y y 14 45 y x

23. Examples: 45 y y 45 y x

24. Examples: 60 60 y x 5 x 30 30 y

25. Examples: 60 60 y x x 30 30 y

26. The diagonal of a square is 6 find the perimeter of the square.

27. The perimeter of an Equilateral triangle is 30, find the length of an altitude.