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Final Review

This review covers solutions to various geometry and trigonometry problems including angle measures in triangles, lengths of diagonals in rectangles, and the relationship of triangle sides in right triangles. Noteworthy calculations include determining the approximate length of the diagonal, angles opposite sides in right triangles, and identifying sets of lengths that can form right triangles. Specific problems are detailed for clarity, promoting understanding of geometric properties and trigonometric functions.

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Final Review

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  1. Final Review

  2. 1.

  3. 1. Answer: 49°

  4. 2.

  5. 2. Answer: 3240°

  6. 3.

  7. 3. Answer: 150°

  8. 4.

  9. 4. Answer: 72°

  10. 5.

  11. 5. ∆ABC ~ ∆FGH because of AA ∆DEF ~ ∆JKLbecause of SSS

  12. 6. What is the length of the diagonal of the rectangle?

  13. 6. What is the length of the diagonal of the rectangle? Answer: approx. 7.28 ft.

  14. 7.

  15. 7. Approx. 1.56in. Approx. 23.3 in.

  16. 8.

  17. 8. Approx. 457.6 m

  18. 9. The legs of a right triangle measure 15 and 19. To the nearest tenth of a degree, what is the measure of the angle opposite the shortest side? 15 19

  19. 9. The legs of a right triangle measure 15 and 19. To the nearest tenth of a degree, what is the measure of the angle opposite the shortest side? 15 19 38.3°

  20. 10.

  21. 10. X = 19 <CBY is 66°

  22. 11.

  23. 11. Answer: 127°

  24. 12. Solve for n.

  25. 12. Solve for n. n = 15

  26. 13.

  27. 13.

  28. 14.

  29. 14.

  30. 15.

  31. 15.

  32. 16.

  33. 16.

  34. 17.

  35. 17.

  36. 18.

  37. 18. E L JL EF

  38. 19.

  39. 19.

  40. 20. Which of these measures can be the lengths of a right triangle?

  41. 20. Which of these measures can be the lengths of a right triangle?

  42. 21.

  43. 21.

  44. 22.

  45. 22. Parallelogram Parallelogram Rhombus Square Parallelogram Rhombus

  46. 23.

  47. 23. 18.6 3 6.5

  48. 24.

  49. 24. 1000 cm3

  50. 25. Find the Volume.

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