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Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?
- a)An obtuse angled triangle.
- b)An acute angled triangle.
- c)A right angled triangle.
- d)An isosceles triangle.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)...
Since ∠C=120o>90o, the triangle formed is obtuse.
Most Upvoted Answer
Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)...
Understanding the Triangle Inequality Theorem
The statement in the question refers to the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This theorem is a fundamental concept in geometry and is applicable to all types of triangles, including equilateral, isosceles, and scalene triangles.
Explanation of the Triangle Inequality Theorem
To understand why the sum of the lengths of any two sides is greater than the length of the third side, we need to consider the possible scenarios that can occur when constructing a triangle.
Scenario 1: The sum of the lengths of two sides is equal to the length of the third side
In this scenario, when the sum of the lengths of two sides of a triangle is equal to the length of the third side, the three sides are said to be in a straight line, and the triangle is called a degenerate triangle. In such a case, the triangle collapses into a line segment, and it is not considered a valid triangle.
Scenario 2: The sum of the lengths of two sides is less than the length of the third side
In this scenario, when the sum of the lengths of two sides is less than the length of the third side, it is impossible to construct a triangle. When we try to connect the two shorter sides, they will not meet to form a closed figure.
Scenario 3: The sum of the lengths of two sides is greater than the length of the third side
In this scenario, when the sum of the lengths of two sides is greater than the length of the third side, it is possible to construct a triangle. When we try to connect the two shorter sides, they will meet to form a closed figure, and all three sides will be connected.
Conclusion
Based on the Triangle Inequality Theorem, we can conclude that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This theorem is essential in determining whether a given set of side lengths can form a valid triangle or not. Therefore, option 'A' - greater than, is the correct answer.
The statement in the question refers to the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This theorem is a fundamental concept in geometry and is applicable to all types of triangles, including equilateral, isosceles, and scalene triangles.
Explanation of the Triangle Inequality Theorem
To understand why the sum of the lengths of any two sides is greater than the length of the third side, we need to consider the possible scenarios that can occur when constructing a triangle.
Scenario 1: The sum of the lengths of two sides is equal to the length of the third side
In this scenario, when the sum of the lengths of two sides of a triangle is equal to the length of the third side, the three sides are said to be in a straight line, and the triangle is called a degenerate triangle. In such a case, the triangle collapses into a line segment, and it is not considered a valid triangle.
Scenario 2: The sum of the lengths of two sides is less than the length of the third side
In this scenario, when the sum of the lengths of two sides is less than the length of the third side, it is impossible to construct a triangle. When we try to connect the two shorter sides, they will not meet to form a closed figure.
Scenario 3: The sum of the lengths of two sides is greater than the length of the third side
In this scenario, when the sum of the lengths of two sides is greater than the length of the third side, it is possible to construct a triangle. When we try to connect the two shorter sides, they will meet to form a closed figure, and all three sides will be connected.
Conclusion
Based on the Triangle Inequality Theorem, we can conclude that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This theorem is essential in determining whether a given set of side lengths can form a valid triangle or not. Therefore, option 'A' - greater than, is the correct answer.
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Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)...
A) is correct answer
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Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer?
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Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer?.
Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer?.
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Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which type of triangle is formed by BC=7.2cm, AC=6 cm and ∠120o?a)An obtuse angled triangle. b)An acute angled triangle.c)A right angled triangle.d)An isosceles triangle.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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