Chapter 9 · Class 8 CBSE · Free Worksheet PDF

Pythagorean Theorem Sums for Class 8 — Free CBSE Worksheet PDF with Answers

Download a free printable pythagorean theorem worksheet for Class 8 CBSE with 30 practice questions covering pythagorean theorem concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Pythagorean Theorem Sums for Class 8 — Practice Questions

Here are 8 sample pythagorean theorem sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.

Q1.Which of the following statements about the Pythagorean theorem is TRUE?
A.It applies to all types of triangles.
B.It relates the sides of an equilateral triangle.
C.It is only applicable to right-angled triangles.
D.It states that the sum of angles in a triangle is 180°.

Difficulty: Easy

Q2.Ravi was trying to find the length of the third side of a right-angled triangle with sides 5 cm and 12 cm. He wrote: 5² + x² = 12². What mistake did Ravi make?
A.He should have subtracted instead of added.
B.He incorrectly assumed 12 cm is a leg, when it could be the hypotenuse.
C.The theorem only works if all sides are known.
D.He used the wrong exponent; it should be 3 instead of 2.

Difficulty: Easy

Q3.Consider a right-angled triangle PQR, where the right angle is at Q. Which side represents the hypotenuse?
A.PQ
B.QR
C.PR
D.Any of the above, depending on the orientation.

Difficulty: Easy

Q4.Which of the following statements best describes a Pythagorean triplet?
A.A set of three odd numbers.
B.A set of three even numbers.
C.A set of three natural numbers a, b, c such that a² + b² = c².
D.A set of three numbers that can form any triangle.

Difficulty: Easy

Q5.A rectangular field is 80 meters long and 60 meters wide. What is the length of its diagonal?
A.100 meters
B.120 meters
C.140 meters
D.90 meters

Difficulty: Easy

Q6.In a right-angled triangle, the hypotenuse is 13 cm long and one of its legs is 5 cm long. What is the length of the other leg?
A.8 cm
B.12 cm
C.10 cm
D.14 cm

Difficulty: Easy

Q7.If, for a triangle with sides p, q, and r, it is found that p² + q² > r², what can be concluded about the triangle? (Assume r is the longest side)
A.It is a right-angled triangle.
B.It is an obtuse-angled triangle.
C.It is an acute-angled triangle.
D.It cannot form a triangle.

Difficulty: Easy

Q8.Which of the following sets of numbers forms a Pythagorean triplet?
A.2, 3, 4
B.4, 5, 6
C.6, 7, 8
D.7, 24, 25

Difficulty: Easy

Answer Key — Sample Questions+
Q1:It is only applicable to right-angled triangles.
Q2:He incorrectly assumed 12 cm is a leg, when it could be the hypotenuse.
Q3:PR
Q4:A set of three natural numbers a, b, c such that a² + b² = c².
Q5:100 meters
Q6:12 cm
Q7:It is an acute-angled triangle.
Q8:7, 24, 25

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicPythagorean Theorem
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 8 CBSE

Squares, Cubes & Their Roots

Class 8 CBSE Worksheet

Exponents & Powers

Class 8 CBSE Worksheet

Rational Numbers

Class 8 CBSE Worksheet

Quadrilaterals

Class 8 CBSE Worksheet

Number Patterns & Puzzles

Class 8 CBSE Worksheet

Algebraic Expressions & Identities

Class 8 CBSE Worksheet

Frequently Asked Questions

Where can I download free pythagorean theorem sums for Class 8?+
You can download a free Pythagorean Theorem PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (pythagorean theorem concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many pythagorean theorem questions are in this Class 8 worksheet?+
This SparkEd worksheet for Pythagorean Theorem Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover pythagorean theorem concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Pythagorean Theorem worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this pythagorean theorem worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Pythagorean Theorem worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include pythagorean theorem word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

Practice Pythagorean Theorem Sums Online — Class 8 CBSE

Want more than a worksheet? Solve pythagorean theorem problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.