Chapter 9 · Class 8 CBSE · Worksheet

Pythagorean Theorem Worksheet — Class 8 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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

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Sample Questions — Pythagorean Theorem

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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

Topic	Pythagorean Theorem
Board	CBSE
Class	8
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

Where can I download a free Pythagorean Theorem worksheet for Class 8?+

You can download a free Pythagorean Theorem PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.

How many questions are in the Pythagorean Theorem worksheet?+

Each SparkEd worksheet for Pythagorean Theorem contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

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Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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