अध्याय 6 · Class 10 UP Board · Free Worksheet PDF

Triangles Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable triangles worksheet for Class 10 UP Board with 30 practice questions covering triangles 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 Triangles Sums for Class 10 — Practice Questions

Here are 8 sample triangles sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.यदि △ABC∼△PQR\triangle ABC \sim \triangle PQR है और ∠A=45∘\angle A = 45^\circ, ∠B=75∘\angle B = 75^\circ है, तो ∠R\angle R का मान क्या होगा?
A.45°
B.60°
C.75°
D.120°

Difficulty: Easy

Q2.निम्नलिखित में से कौन सी भुजाओं की माप एक समकोण त्रिभुज बनाती है?
A.(2, 3, 4)
B.(6, 8, 10)
C.(5, 6, 7)
D.(7, 9, 11)

Difficulty: Easy

Q3.यदि △PQR∼△STU\triangle PQR \sim \triangle STU है और PQ:ST=2:3PQ:ST = 2:3 है, तो △PQR\triangle PQR के परिमाप का △STU\triangle STU के परिमाप से अनुपात क्या होगा?
A.2:32:3
B.4:94:9
C.3:23:2
D.9:49:4

Difficulty: Easy

Q4.दो समरूप त्रिभुजों की संगत भुजाओं का अनुपात 5:75:7 है। उनकी संगत ऊँचाइयों का अनुपात क्या होगा?
A.5:75:7
B.25:4925:49
C.7:57:5
D.49:2549:25

Difficulty: Easy

Q5.एक त्रिभुज ABC में, DE || BC है, जहाँ D भुजा AB पर और E भुजा AC पर बिंदु हैं। यदि AD = 2 cm, DB = 4 cm और AE = 3 cm है, तो EC की लंबाई ज्ञात कीजिए।
A.6 cm
B.4 cm
C.3 cm
D.9 cm

Difficulty: Easy

Q6.त्रिभुज PQR की भुजाओं PQ और PR पर क्रमशः बिंदु S और T हैं। निम्नलिखित में से किस स्थिति में ST || QR होगा?
A.PS/SQ = PT/TR
B.PS/PQ = PT/TR
C.PS/SQ = PQ/PR
D.PS/PQ = ST/QR

Difficulty: Easy

Q7.दो त्रिभुज △ABC\triangle ABC और △PQR\triangle PQR समरूप होते हैं यदि:
A.∠A=∠P\angle A = \angle P, ∠B=∠Q\angle B = \angle Q और ∠C=∠R\angle C = \angle R
B.AB/PQ = BC/QR = AC/PR
C.∠A=∠P\angle A = \angle P और AB/PQ = AC/PR
D.उपरोक्त सभी

Difficulty: Easy

Q8.यदि दो समरूप त्रिभुजों △ABC\triangle ABC और △DEF\triangle DEF के क्षेत्रफल क्रमशः 64 cm2^2 और 121 cm2^2 हैं। यदि EF = 11 cm है, तो BC की लंबाई ज्ञात कीजिए।
A.8 cm
B.10 cm
C.12 cm
D.14 cm

Difficulty: Easy

Answer Key — Sample Questions+
Q1:60°
Q2:(6, 8, 10)
Q3:$2:3$
Q4:$5:7$
Q5:6 cm
Q6:PS/SQ = PT/TR
Q7:उपरोक्त सभी
Q8:8 cm

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

About This Worksheet

TopicTriangles
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free triangles sums for Class 10?+
You can download a free Triangles PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 practice questions (triangles concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many triangles questions are in this Class 10 worksheet?+
This SparkEd worksheet for Triangles Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover triangles 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 Triangles worksheet for Class 10 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 triangles worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 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 Triangles 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 triangles 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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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.