Build a worksheet →

Grade 8 pythagorean theorem worksheets

8.G.B.7 Measurement and geometry

Printable pythagorean theorem worksheets for grade 8, aligned to Common Core standard 8.G.B.7. a² + b² = c².

Make a worksheet on this skill

Free, instant, no signup. Choose 5–40 problems, three difficulty levels, and a printable answer key.

Sample problems

  1. A right triangle has legs of 7 and 24. What is the length of the hypotenuse? 25
  2. A right triangle has legs of 8 and 15. What is the length of the hypotenuse? 17
  3. A right triangle has legs of 24 and 7. What is the length of the hypotenuse? 25
  4. A right triangle has legs of 15 and 8. What is the length of the hypotenuse? 17
  5. A right triangle has legs of 8 and 6. What is the length of the hypotenuse? 10
  6. A right triangle has legs of 12 and 5. What is the length of the hypotenuse? 13
  7. A right triangle has legs of 4 and 3. What is the length of the hypotenuse? 5
  8. A right triangle has legs of 3 and 4. What is the length of the hypotenuse? 5

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

A right triangle has legs of 7 and 24. What is the length of the hypotenuse? 25

  1. a² + b² = c², so c² = 7² + 24²
  2. 7² = 49 and 24² = 576, so c² = 49 + 576 = 625
  3. c = √625 = 25

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

More grade 8 worksheets

Algebra

Number and operations

Measurement and geometry

Word problems

Fractions and decimals

All 19 grade 8 skills