CBSE Class 10 Mathematics Triangles MCQs Set 10

Mathematics Objective Questions and Answers: Chapter 06 Triangles

Review structured MCQ sets for Class 10 Mathematics Chapter 06 Triangles. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Download Chapter 06 Triangles MCQs with Answers

Access the complete set of multiple-choice questions for Chapter 06 Triangles below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CBSE textbooks.

Multiple Choice Questions

Question: If \(\triangle PQR \sim \triangle ABC\), \(PQ = 6\) cm, \(AB = 8\) cm and the perimeter of \(\triangle ABC\) is 36 cm, then the perimeter of \(\triangle PQR\) is
(a) 20.25 cm
(b) 27 cm
(c) 48 cm
(d) 64 cm
Show Answer & Explanation

Answer: (b) 27 cm

Explanation:
1. The ratio of perimeters equals the ratio of corresponding sides: \(\frac{36}{x} = \frac{8}{6}\), so \(x = 27\) cm.

Question: In the given figure, \(DE \parallel BC\). If \(AD = 3\) cm, \(AB = 7\) cm and \(EC = 3\) cm, then the length of \(AE\) is
(a) 2 cm
(b) 2.25 cm
(c) 3.5 cm
(d) 4 cm
Show Answer & Explanation

Answer: (b) 2.25 cm

Explanation:
1. By BPT, \(\frac{AD}{DB} = \frac{AE}{EC}\), so \(\frac{3}{4} = \frac{AE}{3}\), giving \(AE = 2.25\) cm.

Question: In the given figure, \(DE \parallel BC\), with \(AD = 1.5\) cm, \(DB = 3\) cm and \(AE = 1\) cm. The value of \(EC\) is
(a) 1.5 cm
(b) 3 cm
(c) 2 cm
(d) 1 cm
Show Answer & Explanation

Answer: (c) 2 cm

Explanation:
1. By BPT, \(\frac{AD}{DB} = \frac{AE}{EC}\), so \(\frac{1.5}{3} = \frac{1}{EC}\), giving \(EC = 2\) cm.

Teacher's Note:
1. The figure is not in the extraction. The lengths AD, DB and AE are taken from the source's working.

Question: It is given that \(\triangle ABC \sim \triangle EDF\) such that \(AB = 5\) cm, \(AC = 7\) cm, \(DF = 15\) cm and \(DE = 12\) cm. Then the sum of the remaining sides of the triangles is
(a) 23.05 cm
(b) 16.8 cm
(c) 6.25 cm
(d) 24 cm
Show Answer & Explanation

Answer: (a) 23.05 cm

Explanation:
1. \(\frac{AB}{DE} = \frac{AC}{EF}\) gives \(EF = \frac{7 \times 12}{5} = 16.8\) cm.
2. \(\frac{AB}{DE} = \frac{BC}{DF}\) gives \(BC = \frac{5 \times 15}{12} = 6.25\) cm.
3. Sum \(= 16.8 + 6.25 = 23.05\) cm.

Question: The area of a right angled triangle is \(40\) sq cm and its perimeter is \(40\) cm. The length of its hypotenuse is
(a) 16 cm
(b) 18 cm
(c) 17 cm
(d) data insufficient
Show Answer & Explanation

Answer: (b) 18 cm

Explanation:
1. \(\frac{1}{2}ab = 40\), so \(ab = 80\). Also \(a + b + c = 40\), so \(a + b = 40 - c\).
2. \(a^2 + b^2 = c^2\) and \((a + b)^2 = a^2 + b^2 + 2ab\), so \((40 - c)^2 = c^2 + 160\).
3. This gives \(1600 - 80c = 160\), so \(c = 18\) cm.

Question:
Assertion (A): In \(\triangle ABC\), \(AB = 24\) cm, \(BC = 10\) cm and \(AC = 26\) cm, then \(\triangle ABC\) is a right angled triangle.
Reason (R): If in two triangles their corresponding angles are equal, then the triangles are similar.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation

Answer: (b) Both A and R are true, but R is not the correct explanation of A.

Explanation:
1. \(24^2 + 10^2 = 576 + 100 = 676 = 26^2\), so the assertion is true.
2. The reason is also true (AAA similarity), but it does not explain why the triangle is right angled.

Teacher's Note:
1. The source's answer is not printed in the extraction. Option (b) is chosen here.

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Multiple Choice Questions (MCQs) for Class 10 Mathematics Chapter 06 Triangles

Chapter MCQs with Answers for Class 10 Mathematics

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FAQs

Where can I access latest CBSE Class 10 Mathematics Triangles MCQs Set 10?

You can get most exhaustive CBSE Class 10 Mathematics Triangles MCQs Set 10 for free on StudiesToday.com. These MCQs for Class 10 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Triangles MCQs Set 10 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 10 exams?

By solving our CBSE Class 10 Mathematics Triangles MCQs Set 10, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 10 Mathematics Triangles MCQs Set 10?

Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

Can I practice these Mathematics Class 10 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 10 Mathematics Triangles MCQs Set 10 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.