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Worksheets›Grade 8›Geometry›Pythagorean theorem

Pythagorean Theorem Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 8CCSS 8.G.B.7Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Find the hypotenuse (whole numbers)

  1. 1.a = 48, b = 14, c =
  2. 2.a = 15, b = 8, c =
  3. 3.a = 18, b = 80, c =
  4. 4.a = 16, b = 12, c =
  5. 5.a = 12, b = 35, c =
  6. 6.a = 8, b = 15, c =
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

In a right triangle the squares of the two legs add up to the square of the hypotenuse, the side across from the right angle.

Easya = 5, b = 12, c = Find the hypotenuse (whole numbers)Mediuma = 70, b = , c = 74Find a leg (whole numbers)Harda = 9, b = , c = 11Answers rounded to the nearest tenth

How to solve it: a worked example

Find the missing side of each right triangle. c is the hypotenuse; round to the nearest tenth when needed.

  1. Starta = 30, b = 16, c =
  2. Thenc2 = 302 + 162 = 1156
  3. Thenc = √1156 = 34
  4. Answerc = 34

Common mistakes to watch for

  • Adding the squares when finding a leg; subtract from c² instead.
  • Forgetting to take the square root at the end.
  • Treating a leg as the hypotenuse.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Laws of exponentsScientific notationSquare roots & cube rootsMulti-step equationsEquations with variables on both sides

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix pythagorean theorem with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.