1. Right Triangles and Trigonometry
Geometric Mean
Pythagorean Theorem
Special Right Triangles
Trigonometry
100
100
100
100
200
200
200
200
300
300
300
300
400
400
400
400
500
500
500
500

2. 100
Geometric Mean
What is Geometric Mean?

3. The positive square root of two numbers’ product
100
Geometric Mean
The positive square root of two numbers’ product

4. What is the Geometric Mean of
200
What is the Geometric Mean of
4 and 9 ?

5. Geometric Mean
200

6. What is the geometric Mean of
300
What is the geometric Mean of
36 and 4

7. 300
Geometric Mean

8. What is the Geometric Mean of 25 and 9
400
What is the Geometric Mean of 25 and 9

9. 400
Geometric Mean

10. Is this statement always, sometimes or never true
500
Geometric Mean
Is this statement always, sometimes or never true
The Geometric Mean for two perfect squares is a positive integer.

11. 500
Geometric Mean
Always
Why? “The geometric mean between two numbers is the positive square root of their product”

12. What is the equation for Pythagorean Theorem?
100
Pythagorean Theorem
What is the equation for Pythagorean Theorem?

13. 100
Pythagorean Theorem

14. 200
Pythagorean Theorem
What is the value of X ?
8 in.
8 in. X
14 in

15. 200
Pythagorean Theorem

16. 300
Pythagorean Theorem

17. 300
Pythagorean Theorem

18. 400
Pythagorean Theorem
What is the value of X?
7 in.
14 in.
X in.

19. 400
Pythagorean Theorem

20. Do these three numbers form a Pythagorean Triple?
500
Pythagorean Theorem
Do these three numbers form a Pythagorean Triple?
8, 15, 17

21. 500
Pythagorean Theorem
= 289

22. Special Right Triangles
100
Special Right Triangles X
Find X and Y Y* 17
Assume the Shape is a Square

23. Special Right Triangles
100
Special Right Triangles 2
Y = 45

24. Special Right Triangles
200
Special Right Triangles
Find X and Y
60* 18 X Y

25. Special Right Triangles
200
Special Right Triangles

26. Special Right Triangles
300
Special Right Triangles

27. Special Right Triangles
300
Hypotenuse
Long Leg
Short Leg

28. Special Right Triangles
400

29. Special Right Triangles
400
Leg
Hypotenuse

30. Special Right Triangles
500
Find the value of x
X m.
X m.
45 *
45 *
6 m.

31. Special Right Triangles
500

32. What is the short phrase that can be used as a hint for problems?
100
Trigonometry
What is the short phrase that can be used as a hint for problems?

33. Trigonometry
100
SOH CAH TOA

34. What does the law of Sines do to find values in a triangle?
Trigonometry
200
What does the law of Sines do to find values in a triangle?

35. Trigonometry
200
Helps to find sides and angles in triangles that are not right triangles but have one complete ratio.

36. What is the law of Cosines?
Trigonometry
300
What is the law of Cosines?

37. Finds sides and angles with no complete ratio
Trigonometry
300
Finds sides and angles with no complete ratio

38. Trigonometry
400
Find x.
Assume it is a right triangle. 17 12 x

39. Trigonometry
400
X = 44.9

40. Trigonometry
500
Find x.
Assume it is a right triangle 15 18 x

41. Trigonometry
500
X = 39.8