Pythagorean Theorem Intro - Worksheet 2 - 8th Grade

Easy

Understand and apply the Pythagorean Theorem to find the hypotenuse (Easy)

15 problems · 15-20 minutes · Skills: pythagorean theorem, right triangles, geometry

About This Worksheet

This easy-level worksheet contains 15 problems designed for 8th Grade students practicing introduction to the pythagorean theorem. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

The Pythagorean Theorem is one of the most famous and useful results in all of mathematics. It connects algebra and geometry, appears in the distance formula, and underpins trigonometry, GPS navigation, and structural engineering.

  • State the Pythagorean Theorem: a² + b² = c²
  • Identify the legs and hypotenuse of a right triangle
  • Find the length of the hypotenuse given the two legs
  • Verify that a given set of three side lengths forms a right triangle
  • Express hypotenuse lengths in simplified radical form when not a perfect square

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
1 + 1 =
2
1 + 1 =
3
2 + 5 =
4
3 + 1 =
5
5 + 3 =
6
4 + 3 =
7
1 + 3 =
8
3 + 2 =
9
3 + 1 =
10
3 + 5 =
11
3 + 3 =
12
4 + 4 =
13
5 + 3 =
14
3 + 5 =
15
3 + 2 =

Answer Key

1. 22. 23. 74. 45. 86. 77. 48. 59. 410. 811. 612. 813. 814. 815. 5

Frequently Asked Questions

How do I download this pythagorean theorem intro - worksheet 2 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this pythagorean theorem worksheet cover?

This worksheet focuses on pythagorean theorem, right triangles, geometry. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 15 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.