Right Triangles And Trigonometry: SAT Practice Questions

66 official Right Triangles And Trigonometry questions (Geometry and Trigonometry) from the SAT Suite Question Bank, in the same question-ID order used in signed-in practice. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

What does Right Triangles And Trigonometry test on the SAT?

Right Triangle and Trigonometry questions use the Pythagorean theorem, special triangles, similarity, and sine, cosine, or tangent. Correctly labeling sides relative to the chosen angle is essential.

Common question types

  • Find a side or angle in a right triangle
  • Use special right-triangle ratios
  • Apply trigonometry in a contextual or geometric model

Common traps

  • Labeling opposite and adjacent from the wrong reference angle
  • Using degree mode incorrectly
  • Applying the Pythagorean theorem when a trig ratio is needed

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy
8
Medium
18
Hard
40
Extreme
0

Featured Right Triangles And Trigonometry questions

How do I improve at Right Triangles And Trigonometry?

  1. 1Mark the right angle and the reference angle.
  2. 2Label opposite, adjacent, and hypotenuse before choosing a ratio.
  3. 3Estimate whether the missing side or angle should be larger or smaller than known values.

Desmos method

Use sin, cos, tan, or inverse trig functions in degree mode. Enter the full equation and solve numerically, then confirm the result fits the triangle's side and angle constraints.

Related Geometry and Trigonometry skills

All 66 official questions

  1. Question 1 0e709a29Hard
  2. Question 2 13d9a1c3Medium
  3. Question 3 1429dcdfHard
  4. Question 4 145337bcMedium
  5. Question 5 14e7c1f4Hard
  6. Question 6 16d66178Hard
  7. Question 7 1bf809b5Hard
  8. Question 8 25da87f8Hard
  9. Question 9 2757549eMedium
  10. Question 10 2bddbc1bMedium
  11. Question 11 2be01bd9Hard
  12. Question 12 2c3aefc9Hard
  13. Question 13 33e29881Medium
  14. Question 14 36661021Easy
  15. Question 15 379ffefbMedium
  16. Question 16 44b2b894Hard
  17. Question 17 498d6795Hard
  18. Question 18 4c95c7d4Hard
  19. Question 19 4fb972f2Hard
  20. Question 20 52f7b898Hard
  21. Question 21 54df8076Hard
  22. Question 22 55bb437aHard
  23. Question 23 568d66a7Hard
  24. Question 24 58c26db8Hard
  25. Question 25 5a7e3b46Medium
  26. Question 26 603c18adHard
  27. Question 27 64c1f044Easy
  28. Question 28 659cb706Medium
  29. Question 29 6933b3d9Hard
  30. Question 30 6ab30ce3Hard
  31. Question 31 6c67dd47Hard
  32. Question 32 7700d098Medium
  33. Question 33 7c25b0dcHard
  34. Question 34 8027db3fHard
  35. Question 35 85f1892dHard
  36. Question 36 87a9a2d4Medium
  37. Question 37 902dc959Medium
  38. Question 38 92eb236aHard
  39. Question 39 94f7c9e2Hard
  40. Question 40 9823f279Medium
  41. Question 41 98e02472Hard
  42. Question 42 9ec76b54Medium
  43. Question 43 a4bd60a3Hard
  44. Question 44 a4c0547fHard
  45. Question 45 a5aee181Medium
  46. Question 46 a6097ec2Easy
  47. Question 47 a67b9f88Hard
  48. Question 48 a71617d3Medium
  49. Question 49 ae041e52Hard
  50. Question 50 b0c5ece5Easy
  51. Question 51 bbaac300Easy
  52. Question 52 bcb66188Medium
  53. Question 53 bd87bc09Hard
  54. Question 54 bf8d843eMedium
  55. Question 55 c4a9c94dHard
  56. Question 56 c6dff223Hard
  57. Question 57 c9931030Hard
  58. Question 58 c9f8d1e9Easy
  59. Question 59 dba6a25aHard
  60. Question 60 de550be0Medium
  61. Question 61 de9148c4Easy
  62. Question 62 e3158182Hard
  63. Question 63 e6f2ace7Easy
  64. Question 64 f389569dHard
  65. Question 65 f811d345Hard
  66. Question 66 ffe862a3Hard

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