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It is possible to construct a triangle ABC whose sides are
- a)3 cm, 4 cm and 5 cm.
- b)3 cm, 2 cm and 6 cm
- c)2 cm, 3 cm and 5 cm
- d)4 cm, 3 cm and 8 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
It is possible to construct a triangle ABC whose sides area)3 cm, 4 cm...
Solution:
In order to construct a triangle using given sides, we need to make sure that the sum of the lengths of the smallest two sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.
Let's check the given options one by one:
Option A: 3 cm, 4 cm and 5 cm
Here, the sum of the lengths of the smallest two sides (3 cm and 4 cm) is greater than the length of the longest side (5 cm).
Therefore, we can construct a triangle using these sides.
Option B: 3 cm, 2 cm and 6 cm
Here, the sum of the lengths of the smallest two sides (2 cm and 3 cm) is less than the length of the longest side (6 cm).
Therefore, we cannot construct a triangle using these sides.
Option C: 2 cm, 3 cm and 5 cm
Here, the sum of the lengths of the smallest two sides (2 cm and 3 cm) is less than the length of the longest side (5 cm).
Therefore, we cannot construct a triangle using these sides.
Option D: 4 cm, 3 cm and 8 cm
Here, the sum of the lengths of the smallest two sides (3 cm and 4 cm) is less than the length of the longest side (8 cm).
Therefore, we cannot construct a triangle using these sides.
Hence, the correct option is A) 3 cm, 4 cm and 5 cm.
In order to construct a triangle using given sides, we need to make sure that the sum of the lengths of the smallest two sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.
Let's check the given options one by one:
Option A: 3 cm, 4 cm and 5 cm
Here, the sum of the lengths of the smallest two sides (3 cm and 4 cm) is greater than the length of the longest side (5 cm).
Therefore, we can construct a triangle using these sides.
Option B: 3 cm, 2 cm and 6 cm
Here, the sum of the lengths of the smallest two sides (2 cm and 3 cm) is less than the length of the longest side (6 cm).
Therefore, we cannot construct a triangle using these sides.
Option C: 2 cm, 3 cm and 5 cm
Here, the sum of the lengths of the smallest two sides (2 cm and 3 cm) is less than the length of the longest side (5 cm).
Therefore, we cannot construct a triangle using these sides.
Option D: 4 cm, 3 cm and 8 cm
Here, the sum of the lengths of the smallest two sides (3 cm and 4 cm) is less than the length of the longest side (8 cm).
Therefore, we cannot construct a triangle using these sides.
Hence, the correct option is A) 3 cm, 4 cm and 5 cm.
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Community Answer
It is possible to construct a triangle ABC whose sides area)3 cm, 4 cm...
With only A as (a+b)is always greater than c here a, b and c represents sides of a triangle.
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It is possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. 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 possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. 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 possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. Can you explain this answer?.
It is possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. 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 possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. 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 possible to construct a triangle ABC whose sides area)3 cm, 4 cm and 5 cm.b)3 cm, 2 cm and 6 cmc)2 cm, 3 cm and 5 cmd)4 cm, 3 cm and 8 cmCorrect answer is option 'A'. Can you explain this answer?.
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