Worksheets · Pre-Algebra

Pre-Algebra pythagorean theorem worksheet

Easy uses triangles whose sides are all whole numbers, so the answers come out clean. The harder levels leave the root in, which is the exact answer.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

The Pythagorean Theorem

Date Period

Find the missing side.

  1. Find the missing side8x17
  2. Find the missing side2896x
  3. Find the missing side2445x
  4. Find the missing side1448x
  5. Find the missing side68x
  6. Find the missing side2048x
  7. Find the missing side34x
  8. Find the missing side3260x
  9. Find the missing side9x15
  10. Find the missing side7x25
  11. Find the missing side20x52
  12. Find the missing side1216x
  13. Find the missing side1024x
  14. Find the missing side2172x
  15. Find the missing side15x39
  16. Find the missing side21x75
  17. Find the missing side10x26
  18. Find the missing side6x10
  19. Find the missing side5x13
  20. Find the missing side1630x

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

The Pythagorean TheoremAnswer keyVersion 1

Date Period

Find the missing side.

  1. Find the missing side8x1715
  2. Find the missing side2896x100
  3. Find the missing side2445x51
  4. Find the missing side1448x50
  5. Find the missing side68x10
  6. Find the missing side2048x52
  7. Find the missing side34x5
  8. Find the missing side3260x68
  9. Find the missing side9x1512
  10. Find the missing side7x2524
  11. Find the missing side20x5248
  12. Find the missing side1216x20
  13. Find the missing side1024x26
  14. Find the missing side2172x75
  15. Find the missing side15x3936
  16. Find the missing side21x7572
  17. Find the missing side10x2624
  18. Find the missing side6x108
  19. Find the missing side5x1312
  20. Find the missing side1630x34

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

The legs of a right triangle are 6 and 8. Find the hypotenuse

  1. Square both legs: 36 and 64.
  2. Add them: 100.
  3. Take the square root.

The answer is 10.

Where students go wrong

Using the theorem to find a leg by adding rather than subtracting. The hypotenuse squared is the total, so finding a leg means taking the other one away from it.

Also called Pythagoras, finding the hypotenuse or missing leg.

Questions about these worksheets

Yes. Every pythagorean theorem sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the pythagorean theorem questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Using the theorem to find a leg by adding rather than subtracting. The hypotenuse squared is the total, so finding a leg means taking the other one away from it.