Class 9 Exam > Class 9 Questions > It is not possible to construct a triangle wh... Start Learning for Free
It is not possible to construct a triangle whose sides are
- a)3 cm, 4 cm and 5 cm
- b)3 cm, 3 cm and 6 cm
- c)5 cm, 12 cm and 13 cm
- d)15 cm, 8 cm and 17 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
It is not possible to construct a triangle whose sides area)3 cm, 4 cm...
Because in option B sum of two sides is equal to the third side but The sum of two sides of a triangle must be greater than the third side of it
Free Test
FREE
| Start Free Test |
Community Answer
It is not possible to construct a triangle whose sides area)3 cm, 4 cm...
Understanding Triangle Construction
To determine whether a triangle can be formed with given side lengths, we apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the remaining side.
Triangle Inequality Theorem
- For sides a, b, and c, the following must hold true:
- a + b > c
- a + c > b
- b + c > a
Evaluating the Options
Let's analyze each option to see if they satisfy the Triangle Inequality Theorem:
a) 3 cm, 4 cm, and 5 cm
- 3 + 4 = 7 > 5
- 3 + 5 = 8 > 4
- 4 + 5 = 9 > 3
- Conclusion: A triangle can be formed.
b) 3 cm, 3 cm, and 6 cm
- 3 + 3 = 6 (not greater than 6)
- 3 + 6 = 9 > 3
- 3 + 6 = 9 > 3
- Conclusion: The sum of the two equal sides (3 cm + 3 cm) is equal to the third side (6 cm), violating the theorem. Hence, a triangle cannot be formed.
c) 5 cm, 12 cm, and 13 cm
- 5 + 12 = 17 > 13
- 5 + 13 = 18 > 12
- 12 + 13 = 25 > 5
- Conclusion: A triangle can be formed.
d) 15 cm, 8 cm, and 17 cm
- 15 + 8 = 23 > 17
- 15 + 17 = 32 > 8
- 8 + 17 = 25 > 15
- Conclusion: A triangle can be formed.
Final Conclusion
The only option that does not satisfy the Triangle Inequality Theorem is option b) 3 cm, 3 cm, and 6 cm. Therefore, it is not possible to construct a triangle with these lengths.
To determine whether a triangle can be formed with given side lengths, we apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the remaining side.
Triangle Inequality Theorem
- For sides a, b, and c, the following must hold true:
- a + b > c
- a + c > b
- b + c > a
Evaluating the Options
Let's analyze each option to see if they satisfy the Triangle Inequality Theorem:
a) 3 cm, 4 cm, and 5 cm
- 3 + 4 = 7 > 5
- 3 + 5 = 8 > 4
- 4 + 5 = 9 > 3
- Conclusion: A triangle can be formed.
b) 3 cm, 3 cm, and 6 cm
- 3 + 3 = 6 (not greater than 6)
- 3 + 6 = 9 > 3
- 3 + 6 = 9 > 3
- Conclusion: The sum of the two equal sides (3 cm + 3 cm) is equal to the third side (6 cm), violating the theorem. Hence, a triangle cannot be formed.
c) 5 cm, 12 cm, and 13 cm
- 5 + 12 = 17 > 13
- 5 + 13 = 18 > 12
- 12 + 13 = 25 > 5
- Conclusion: A triangle can be formed.
d) 15 cm, 8 cm, and 17 cm
- 15 + 8 = 23 > 17
- 15 + 17 = 32 > 8
- 8 + 17 = 25 > 15
- Conclusion: A triangle can be formed.
Final Conclusion
The only option that does not satisfy the Triangle Inequality Theorem is option b) 3 cm, 3 cm, and 6 cm. Therefore, it is not possible to construct a triangle with these lengths.
 | Explore Courses for Class 9 exam |  |
Top Courses for Class 9View all
Top Courses for Class 9
Question Description
It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer?.
It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice It is not possible to construct a triangle whose sides area)3 cm, 4 cm and 5 cmb)3 cm, 3 cm and 6 cmc)5 cm, 12 cm and 13 cmd)15 cm, 8 cm and 17 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
| Explore Courses for Class 9 exam | |
Top Courses for Class 9
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
