Skills · Trigonometry · Right Triangles & Trigonometry

Finding a side with the Pythagorean theorem

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, legs 4 and ?, hypotenuse 5?45
    Find the missing side.
  2. a right triangle, legs 24 and 18, hypotenuse ?2418?
    Find the missing side.
  3. a right triangle, legs 12 and ?, hypotenuse 20?1220
    Find the missing side.
  4. a right triangle, legs 40 and ?, hypotenuse 41?4041
    Find the missing side.
  5. a right triangle, legs 28 and ?, hypotenuse 3528?35
    Find the missing side.
  6. a right triangle, legs 24 and 7, hypotenuse ?247?
    Find the missing side.
  7. a right triangle, legs 6 and 8, hypotenuse ?68?
    Find the missing side.
  8. a right triangle, legs 36 and 27, hypotenuse ?3627?
    Find the missing side.

Answer key

  1. 3 units
  2. 30 units
  3. 16 units
  4. 9 units
  5. 21 units
  6. 25 units
  7. 10 units
  8. 45 units

Sample Sheet · Level 3

  1. A rectangle is 24 by 14. How long is its diagonal?
  2. A rectangle is 37 by 16. How long is its diagonal?
  3. a right triangle, legs 16 and ?, hypotenuse 20?1620
    Find the missing side.
  4. A rectangle is 33 by 44. How long is its diagonal?
  5. a right triangle, legs 39 and 27, hypotenuse ?3927?
    Find the missing side.
  6. a right triangle, legs 41 and ?, hypotenuse 5841?58
    Find the missing side.
  7. a right triangle, legs 40 and ?, hypotenuse 5840?58
    Find the missing side.
  8. a right triangle, legs 40 and 38, hypotenuse ?4038?
    Find the missing side.

Answer key

  1. 2√193 units
  2. 5√65 units
  3. 12 units
  4. 55 units
  5. 15√10 units
  6. 3√187 units
  7. 42 units
  8. 2√761 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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