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Pythagorean Theorem Word Problems - Worksheet 6 - 8th Grade

Medium

Use a² + b² = c² for right triangles, coordinate distances and contextual problems.

medium: Use larger dimensions or combine parts.

14 problems · 20-25 minutes · Skills: pythagorean theorem, problem solving, geometry

About This Worksheet

This medium-level worksheet contains 14 problems designed for 8th Grade students practicing pythagorean theorem word problems. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Read labeled dimensions and coordinates. Recall multiplication facts and length units.

  • Use a² + b² = c² for right triangles, coordinate distances and contextual problems.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A path goes 9 m east and 12 m north. What is the straight-line distance from start to finish?
Solution Steps:
  1. Add the squares of the two perpendicular lengths.
  2. Take the positive square root.
Answer: 15 m
Tip: Check your result using the method in the example before moving to the next question.
1
A path goes 9 m east and 12 m north. What is the straight-line distance from start to finish?
2
A path goes 27 m east and 36 m north. What is the straight-line distance from start to finish?
3
A path goes 30 m east and 40 m north. What is the straight-line distance from start to finish?
4
A path goes 12 m east and 16 m north. What is the straight-line distance from start to finish?
5
A path goes 6 m east and 8 m north. What is the straight-line distance from start to finish?
6
A path goes 18 m east and 24 m north. What is the straight-line distance from start to finish?
7
A path goes 15 m east and 20 m north. What is the straight-line distance from start to finish?
8
A path goes 21 m east and 28 m north. What is the straight-line distance from start to finish?
9
A path goes 24 m east and 32 m north. What is the straight-line distance from start to finish?
10
A path goes 3 m east and 4 m north. What is the straight-line distance from start to finish?
11
A path goes 6 m east and 8 m north. What is the straight-line distance from start to finish?
12
A path goes 3 m east and 4 m north. What is the straight-line distance from start to finish?
13
A path goes 21 m east and 28 m north. What is the straight-line distance from start to finish?
14
A path goes 9 m east and 12 m north. What is the straight-line distance from start to finish?

Answer Key

1. 15 m2. 45 m3. 50 m4. 20 m5. 10 m6. 30 m7. 25 m8. 35 m9. 40 m10. 5 m11. 10 m12. 5 m13. 35 m14. 15 m

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What skills does this pythagorean theorem worksheet cover?

This worksheet focuses on pythagorean theorem, problem solving, 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.

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How many problems are on this worksheet?

This worksheet contains 14 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.