Grade 7 Pythagorean Theorem Worksheet with Answers
Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math
Unit 7: Going FurtherAdvanced: Grade 8 PreviewCCSS 8.G.B.7Advanced
Finding a missing side of a right triangle with a² + b² = c². This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Pythagorean Theorem
Grade 7 · Math
Name
Class
Date
Learning goal: Advanced: Grade 8 Preview · CCSS 8.G.B.7
Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.
A right triangle has legs of 3 m and 4 m. Find the hypotenuse.
Answer: 5 m
RememberRight triangles
- 1
A 5 ft ladder leans against a wall with its foot 3 ft from the wall. How high up the wall does it reach?
Answer - 2
A right triangle has a hypotenuse of 17 m and one leg of 8 m. Find the other leg.
Answer - 3
A 10 cm ladder leans against a wall with its foot 6 cm from the wall. How high up the wall does it reach?
Answer - 4
A right triangle has legs of 7 m and 24 m. Find the hypotenuse.
Answer - 5
A right triangle has legs of 14 ft and 48 ft. Find the hypotenuse.
Answer - 6
A right triangle has legs of 20 cm and 21 cm. Find the hypotenuse.
Answer - 7
A right triangle has legs of 9 cm and 40 cm. Find the hypotenuse.
Answer - 8
A 41 cm ladder leans against a wall with its foot 9 cm from the wall. How high up the wall does it reach?
Answer - 9
A 41 m ladder leans against a wall with its foot 9 m from the wall. How high up the wall does it reach?
Answer - 10
A right triangle has legs of 16 ft and 30 ft. Find the hypotenuse.
Answer - 11
A 15 in ladder leans against a wall with its foot 9 in from the wall. How high up the wall does it reach?
Answer - 12
A right triangle has legs of 15 m and 36 m. Find the hypotenuse.
Answer
★ Challenge corner for fast finishers
How many factors does 90 have?
How did I do?
Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/pythagorean
Answer key — Pythagorean Theorem (Grade 7)
- 1.4 ft
- 2.15 m
- 3.8 cm
- 4.25 m
- 5.50 ft
- 6.29 cm
- 7.41 cm
- 8.40 cm
- 9.40 m
- 10.34 ft
- 11.12 in
- 12.39 m
- ★12
Answer key (click to show)
- 1.4 ft
- 2.15 m
- 3.8 cm
- 4.25 m
- 5.50 ft
- 6.29 cm
- 7.41 cm
- 8.40 cm
- 9.40 m
- 10.34 ft
- 11.12 in
- 12.39 m
- ★12 (challenge corner)
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