अध्याय 9 · Class 8 UP Board · Free Worksheet PDF

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

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

Last updated: 5 May 2026

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

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Sample Pythagorean Theorem Sums for Class 8 — Practice Questions

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

Q1.एक समकोण त्रिभुज में, यदि लंब 3 cm और आधार 4 cm है, तो कर्ण की लंबाई क्या होगी?
A.5 cm
B.7 cm
C.12 cm
D.25 cm

Difficulty: Easy

Q2.एक समकोण त्रिभुज का कर्ण 10 cm है और उसका एक लंब 6 cm है। त्रिभुज के आधार की लंबाई क्या है?
A.4 cm
B.8 cm
C.16 cm
D.100 cm

Difficulty: Easy

Q3.निम्नलिखित में से कौन सा समूह पाइथागोरस त्रिक (Pythagorean triplet) बनाता है?
A.(1, 2, 3)
B.(6, 8, 10)
C.(7, 24, 26)
D.(2, 3, 4)

Difficulty: Easy

Q4.यदि किसी त्रिभुज की भुजाएँ 5 cm, 12 cm और 13 cm हैं, तो वह किस प्रकार का त्रिभुज है?
A.समबाहु त्रिभुज
B.समद्विबाहु त्रिभुज
C.समकोण त्रिभुज
D.विषमबाहु त्रिभुज

Difficulty: Easy

Q5.एक वर्ग की भुजा की लंबाई 5 cm है। उसके विकर्ण की लंबाई क्या होगी?
A.5 cm
B.525\sqrt{2} cm
C.10 cm
D.25 cm

Difficulty: Easy

Q6.पाइथागोरस प्रमेय किस त्रिभुज पर लागू होता है?
A.समबाहु त्रिभुज
B.समद्विबाहु त्रिभुज
C.समकोण त्रिभुज
D.विषमबाहु त्रिभुज

Difficulty: Easy

Q7.एक समद्विबाहु त्रिभुज की दो समान भुजाएँ प्रत्येक 13 cm हैं और आधार 10 cm है। त्रिभुज की ऊँचाई ज्ञात कीजिए।
A.12 cm
B.10 cm
C.8 cm
D.6 cm

Difficulty: Easy

Q8.निम्नलिखित में से कौन सा समूह पाइथागोरस त्रिक नहीं है?
A.(3, 4, 5)
B.(8, 15, 17)
C.(5, 12, 13)
D.(9, 10, 11)

Difficulty: Easy

Answer Key — Sample Questions+
Q1:5 cm
Q2:8 cm
Q3:(6, 8, 10)
Q4:समकोण त्रिभुज
Q5:$5\sqrt{2}$ cm
Q6:समकोण त्रिभुज
Q7:12 cm
Q8:(9, 10, 11)

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

About This Worksheet

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

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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 UP Board 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 UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 8 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board 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 UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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