1. Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400

2. Pythagorean Theorem for $100 Find the value of y. 24 18 y

3. Pythagorean Theorem for $100 Answer y = 30

4. Pythagorean Theorem for $200 In triangle below a right triangle? Explain. 11 11√3 11

5. Pythagorean Theorem for $200 Answer No, because the side lengths do not fit into the Pythagorean Theorem. In other words, a² + b² ≠ c² with the given side lengths from this triangle.

6. Pythagorean Theorem for $300 Find the value of y. √85 6 y

7. Pythagorean Theorem for $300 Answer y=7

8. Pythagorean Theorem for $400 A square has diagonal length of 10√2 yards. What is the perimeter of the square?

9. Pythagorean Theorem for $400 Answer 40 yards

10. Special Right Triangles for $100 60 36 30 x Find the value of each variable. If your answer is not an integer, express it in simplest radical form.

11. Special Right Triangles for $100 Answer x=18

12. Special Right Triangles for $200 45 y Find the value of y. If your answer is not an integer, express it in simplest radical form. 3

13. Special Right Triangles for $200 Answer y = 3√2

14. Special Right Triangles for $300 An equilateral triangle has the height of 27 cm. What is the length of each side of the triangle? (Leave your answer as a simplified radical)

15. Special Right Triangles for $300 Answer 9√3 meters

16. Special Right Triangles for $400 60 b a 30 10√3 Find the value of each variable. If your answer is not an integer, round to the nearest hundredth.

17. Special Right Triangles for $400 Answer a=15 b=21.33

18. Trigonometric Ratios for $100 Find the value of x. Round to the nearest tenth. 55 x 33

19. Trigonometric Ratios for $100 Answer x=47.1

20. Trigonometric Ratios for $200 Find the value of x. Round to the nearest tenth. 8.9 x 5.4

21. Trigonometric Ratios for $200 Answer x=54.65˚

22. Trigonometric Ratios for $300 5.5 w x 4535 Find the value of w and then x. Round lengths to the nearest tenth.

23. Trigonometric Ratios for $300 Answer w=5.5 x=2.4

24. Trigonometric Ratios for $400 Why is Tan (45) = 1?

25. Trigonometric Ratios for $400 Answer Tangent is the ratio of the opposite side over the adjacent side. In a 45-45-90 triangle, these two sides, or legs, are congruent (since this is an isosceles triangle). Therefore, the ratio of these sides is 1.