Chapter 6 · Class 10 CBSE · Free Worksheet PDF
Triangle Sums for Class 10 — Free CBSE Worksheet PDF with Answers
Download a free printable triangles worksheet for Class 10 CBSE with 30 practice questions covering types of triangles, properties, congruence, similarity, Pythagoras theorem, and area of triangles. Includes complete answer key. CBSE-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.
Sample Triangles Sums for Class 10 — Practice Questions
Here are 8 sample triangles sums from this Class 10 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Consider a triangle ABC. A line DE is drawn parallel to BC, intersecting AB at D and AC at E. Which of the following statements correctly represents the Basic Proportionality Theorem (BPT)?
A.AD/AB = AE/AC
B.AD/DB = AE/EC
C.AD/DE = AB/BC
D.DB/AB = EC/AC
Difficulty: Easy
Q2.In triangle PQR, points S and T are on PQ and PR respectively. If PS = 3 cm, SQ = 6 cm, PT = 4 cm, and TR = 8 cm, which of the following statements is true?
A.ST || QR
B.ST is perpendicular to QR
C.ST bisects ∠P
D.ST is twice QR
Difficulty: Easy
Q3.Consider two triangles, ΔABC and ΔDEF. If ∠A = 50°, ∠B = 60°, ∠D = 50°, and ∠F = 70°, which similarity criterion would prove ΔABC ~ ΔDEF?
A.SSS Similarity
B.AA Similarity
C.SAS Similarity
D.None of these
Difficulty: Easy
Q4.Two triangles, ΔPQR and ΔXYZ, have sides such that PQ = 6 cm, QR = 8 cm, PR = 10 cm and XY = 3 cm, YZ = 4 cm, XZ = 5 cm. Which of the following statements is true about these triangles?
A.They are congruent.
B.They are similar by SAS criterion.
C.They are similar by SSS criterion.
D.They are not similar.
Difficulty: Easy
Q5.For two triangles ΔLMN and ΔRST to be similar by the SAS (Side-Angle-Side) criterion, which of the following sets of conditions is sufficient?
A.LM/RS = MN/ST and ∠M = ∠S
B.LM/RS = MN/ST and ∠L = ∠R
C.LM/RS = LN/RT and ∠M = ∠S
D.LM/RS = MN/ST and ∠N = ∠T
Difficulty: Easy
Q6.If two triangles, ΔABC and ΔPQR, are similar, then their corresponding angles are equal, and the ratio of their corresponding sides is _________.
A.unequal
B.inversely proportional
C.equal
D.squared
Difficulty: Easy
Q7.Which of the following conditions is essential for applying the Pythagoras Theorem to a triangle?
A.The triangle must be equilateral.
B.The triangle must be a right-angled triangle.
C.The triangle must be isosceles.
D.The triangle must be acute-angled.
Difficulty: Easy
Q8.Ravi was trying to find the length of the diagonal of a square with side length 5 cm. He reasoned: 'Let the diagonal be d. By Pythagoras theorem, d² = 5² + 5², so d² = 25 + 25 = 50. Therefore, d = √50 ≈ 7.07 cm.' What is the error in Ravi's reasoning, if any?
A.Pythagoras theorem cannot be applied to a square.
B.The formula used was incorrect; it should be d = side × √2.
C.The calculation of d² = 50 is wrong.
D.There is no error in Ravi's reasoning; his solution is correct.
Difficulty: Easy
Answer Key — Sample Questions+
Q1:AD/DB = AE/EC
Q2:ST || QR
Q3:AA Similarity
Q4:They are similar by SSS criterion.
Q5:LM/RS = MN/ST and ∠M = ∠S
Q6:equal
Q7:The triangle must be a right-angled triangle.
Q8:There is no error in Ravi's reasoning; his solution is correct.
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Triangles |
|---|---|
| Board | CBSE |
| Class | 10 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 10 CBSE
Frequently Asked Questions
Where can I download free triangles sums for Class 10?+
You can download a free Triangles PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 practice questions (types of triangles, properties, congruence, similarity, Pythagoras theorem, and area of triangles) 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 types of triangles, properties, congruence, similarity, Pythagoras theorem, and area of triangles. 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 CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 10 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE 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.
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Start Practising OnlineSparkEd 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.