Skills · Trigonometry · Right Triangles & Trigonometry

45°-45°-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 45° and 45°: leg 13, hypotenuse ?13?45°45°
    Find the side marked ?.
  2. a right triangle with angles 45° and 45°: leg 8, hypotenuse ?8?45°45°
    Find the side marked ?.
  3. a right triangle with angles 45° and 45°: leg 3, hypotenuse ?3?45°45°
    Find the side marked ?.
  4. a right triangle with angles 45° and 45°: leg 6, hypotenuse ?6?45°45°
    Find the side marked ?.
  5. a right triangle with angles 45° and 45°: leg 14, hypotenuse ?14?45°45°
    Find the side marked ?.
  6. a right triangle with angles 45° and 45°: leg 12, hypotenuse ?12?45°45°
    Find the side marked ?.
  7. a right triangle with angles 45° and 45°: leg 10, hypotenuse ?10?45°45°
    Find the side marked ?.
  8. a right triangle with angles 45° and 45°: leg 11, hypotenuse ?11?45°45°
    Find the side marked ?.

Answer key

  1. 13√2 units
  2. 8√2 units
  3. 3√2 units
  4. 6√2 units
  5. 14√2 units
  6. 12√2 units
  7. 10√2 units
  8. 11√2 units

Sample Sheet · Level 3

  1. a right triangle with angles 45° and 45°: leg ?, hypotenuse 15√2?15√245°45°
    Find the side marked ?.
  2. A square has a side of 11. How long is its diagonal?
  3. a right triangle with angles 45° and 45°: leg ?, hypotenuse 14√2?14√245°45°
    Find the side marked ?.
  4. A square has a diagonal of 12√2. How long is each side?
  5. a right triangle with angles 45° and 45°: leg ?, hypotenuse 12?1245°45°
    Find the side marked ?.
  6. a right triangle with angles 45° and 45°: leg 5√2, hypotenuse ?5√2?45°45°
    Find the side marked ?.
  7. a right triangle with angles 45° and 45°: leg 22, hypotenuse ?22?45°45°
    Find the side marked ?.
  8. A square has a side of 8. How long is its diagonal?

Answer key

  1. 15 units
  2. 11√2 units
  3. 14 units
  4. 12 units
  5. 6√2 units
  6. 10 units
  7. 22√2 units
  8. 8√2 units

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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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