Skills · Trigonometry · Right Triangles & Trigonometry

Distance on a grid 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. point A at (9, 23) and point B at (21, 7), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  2. point A at (0, 21) and point B at (24, 11), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  3. point A at (2, 5) and point B at (5, 1), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  4. point A at (20, 13) and point B at (12, 7), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  5. point A at (23, 23) and point B at (15, 8), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  6. point A at (24, 21) and point B at (9, 1), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  7. point A at (24, 5) and point B at (0, 23), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.
  8. point A at (5, 18) and point B at (17, 13), the right triangle drawnAB02244668810101212141416161818202022222424
    Find the distance from A to B.

Answer key

  1. 20 units
  2. 26 units
  3. 5 units
  4. 10 units
  5. 17 units
  6. 25 units
  7. 30 units
  8. 13 units

Sample Sheet · Level 3

  1. point A at (2, −6) and point B at (−7, −9)AB−12−12−8−8−4−444881212
    Draw the right triangle. Then find the distance from A to B.
  2. point A at (−9, 12) and point B at (9, −12), the right triangle drawnAB−12−12−8−8−4−444881212
    Find the distance from A to B.
  3. point A at (−7, −5) and point B at (−11, −10)AB−12−12−8−8−4−444881212
    Draw the right triangle. Then find the distance from A to B.
  4. point A at (−11, −3) and point B at (4, −11), the right triangle drawnAB−12−12−8−8−4−444881212
    Find the distance from A to B.
  5. point A at (−6, 1) and point B at (2, 12)AB−12−12−8−8−4−444881212
    Draw the right triangle. Then find the distance from A to B.
  6. point A at (6, 0) and point B at (9, −4), the right triangle drawnAB−12−12−8−8−4−444881212
    Find the distance from A to B.
  7. point A at (4, −3) and point B at (1, −4)AB−12−12−8−8−4−444881212
    Draw the right triangle. Then find the distance from A to B.
  8. point A at (−5, −2) and point B at (−12, 10), the right triangle drawnAB−12−12−8−8−4−444881212
    Find the distance from A to B.

Answer key

  1. 3√10 units
  2. 30 units
  3. √41 units
  4. 17 units
  5. √185 units
  6. 5 units
  7. √10 units
  8. √193 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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