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It is not possible to construct a triangle when the lengths of its sides are
- a)4cm, 6cm, 6cm
- b)9.3cm, 5.2cm, 7.4cm
- c)6cm, 7cm, 8cm
- d)5.3cm, 2.2cm, 3.1cm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
It is not possible to construct a triangle when the lengths of its sid...
For forming a triangle sum of any two sides must be greater than the third side.
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It is not possible to construct a triangle when the lengths of its sid...
**Explanation:**
To construct a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
Let's analyze each option to see if a triangle can be formed:
**a) 4cm, 6cm, 6cm**
In this case, the sum of the two shorter sides (4cm and 6cm) is 10cm, which is greater than the length of the longest side (6cm). Therefore, a triangle can be formed with these side lengths.
**b) 9.3cm, 5.2cm, 7.4cm**
The sum of the two shorter sides (5.2cm and 7.4cm) is 12.6cm, which is greater than the length of the longest side (9.3cm). Therefore, a triangle can be formed with these side lengths.
**c) 6cm, 7cm, 8cm**
The sum of the two shorter sides (6cm and 7cm) is 13cm, which is greater than the length of the longest side (8cm). Therefore, a triangle can be formed with these side lengths.
**d) 5.3cm, 2.2cm, 3.1cm**
In this case, the sum of the two shorter sides (2.2cm and 3.1cm) is 5.3cm, which is equal to the length of the longest side (5.3cm). According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Since the sum of the two shorter sides is equal to the length of the longest side, it is not possible to form a triangle with these side lengths.
Therefore, the correct answer is option 'D' - it is not possible to construct a triangle with side lengths of 5.3cm, 2.2cm, and 3.1cm.
To construct a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
Let's analyze each option to see if a triangle can be formed:
**a) 4cm, 6cm, 6cm**
In this case, the sum of the two shorter sides (4cm and 6cm) is 10cm, which is greater than the length of the longest side (6cm). Therefore, a triangle can be formed with these side lengths.
**b) 9.3cm, 5.2cm, 7.4cm**
The sum of the two shorter sides (5.2cm and 7.4cm) is 12.6cm, which is greater than the length of the longest side (9.3cm). Therefore, a triangle can be formed with these side lengths.
**c) 6cm, 7cm, 8cm**
The sum of the two shorter sides (6cm and 7cm) is 13cm, which is greater than the length of the longest side (8cm). Therefore, a triangle can be formed with these side lengths.
**d) 5.3cm, 2.2cm, 3.1cm**
In this case, the sum of the two shorter sides (2.2cm and 3.1cm) is 5.3cm, which is equal to the length of the longest side (5.3cm). According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Since the sum of the two shorter sides is equal to the length of the longest side, it is not possible to form a triangle with these side lengths.
Therefore, the correct answer is option 'D' - it is not possible to construct a triangle with side lengths of 5.3cm, 2.2cm, and 3.1cm.
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It is not possible to construct a triangle when the lengths of its sides area)4cm, 6cm, 6cmb)9.3cm, 5.2cm, 7.4cmc)6cm, 7cm, 8cmd)5.3cm, 2.2cm, 3.1cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 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 when the lengths of its sides area)4cm, 6cm, 6cmb)9.3cm, 5.2cm, 7.4cmc)6cm, 7cm, 8cmd)5.3cm, 2.2cm, 3.1cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is not possible to construct a triangle when the lengths of its sides area)4cm, 6cm, 6cmb)9.3cm, 5.2cm, 7.4cmc)6cm, 7cm, 8cmd)5.3cm, 2.2cm, 3.1cmCorrect answer is option 'D'. Can you explain this answer?.
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