Skills · Trigonometry · Right Triangles & Trigonometry

30°-60°-90° triangles

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. a right triangle with angles 30° and 60°: short leg 11, hypotenuse ?11?30°60°
    Find the side marked ?.
  2. a right triangle with angles 30° and 60°: short leg 8, hypotenuse ?8?30°60°
    Find the side marked ?.
  3. a right triangle with angles 30° and 60°: short leg 4, long leg ??430°60°
    Find the side marked ?.
  4. a right triangle with angles 30° and 60°: short leg 9, hypotenuse ?9?30°60°
    Find the side marked ?.
  5. a right triangle with angles 30° and 60°: short leg 10, long leg ??1030°60°
    Find the side marked ?.
  6. a right triangle with angles 30° and 60°: short leg 13, hypotenuse ?13?30°60°
    Find the side marked ?.
  7. a right triangle with angles 30° and 60°: short leg 14, long leg ??1430°60°
    Find the side marked ?.
  8. a right triangle with angles 30° and 60°: short leg 3, hypotenuse ?3?30°60°
    Find the side marked ?.

Answer key

  1. 22 units
  2. 16 units
  3. 4√3 units
  4. 18 units
  5. 10√3 units
  6. 26 units
  7. 14√3 units
  8. 6 units

Sample Sheet · Level 3

  1. a right triangle with angles 30° and 60°: short leg ?, hypotenuse 12√3?12√330°60°
    Find the side marked ?.
  2. a right triangle with angles 30° and 60°: long leg ?, hypotenuse 22?2230°60°
    Find the side marked ?.
  3. a right triangle with angles 30° and 60°: short leg 13, long leg ??1330°60°
    Find the side marked ?.
  4. a right triangle with angles 30° and 60°: short leg 24, long leg ??2430°60°
    Find the side marked ?.
  5. a right triangle with angles 30° and 60°: long leg 10√3, hypotenuse ?10√3?30°60°
    Find the side marked ?.
  6. a right triangle with angles 30° and 60°: short leg ?, hypotenuse 8?830°60°
    Find the side marked ?.
  7. a right triangle with angles 30° and 60°: short leg ?, long leg 99?30°60°
    Find the side marked ?.
  8. a right triangle with angles 30° and 60°: long leg 15, hypotenuse ?15?30°60°
    Find the side marked ?.

Answer key

  1. 6√3 units
  2. 11√3 units
  3. 13√3 units
  4. 24√3 units
  5. 20 units
  6. 4 units
  7. 3√3 units
  8. 10√3 units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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