CTET & State TET Exam > CTET & State TET Questions > Which of the following is/are not correct?a)A...
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Which of the following is/are not correct?
- a)A triangle can have more than one right angle.
- b)A triangle cannot have more than one obtuse angle.
- c)In a right-angled triangle, the sum of the acute angles is always 90º.
- d)All of the above
Correct answer is option 'A'. Can you explain this answer?
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Which of the following is/are not correct?a)A triangle can have more t...
A triangle cannot have more than one right angle.The sum of all angles of the triangle cannot exceed 180º. If two of the angles are right-angled, it will not satisfy this condition.
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Which of the following is/are not correct?a)A triangle can have more t...
Understanding Triangle Angle Properties
In geometry, triangles have specific properties related to their angles. Let's analyze each statement to determine their correctness.
Statement A: A triangle can have more than one right angle.
- This statement is not correct.
- A triangle can only have one right angle because the sum of all angles in a triangle is always 180 degrees. If a triangle had two right angles (each 90 degrees), that would already sum to 180 degrees, leaving no room for a third angle, which is impossible.
Statement B: A triangle cannot have more than one obtuse angle.
- This statement is correct.
- An obtuse angle is greater than 90 degrees. If a triangle had two obtuse angles, their sum would exceed 180 degrees, violating the fundamental rule that the sum of all angles in a triangle must equal 180 degrees.
Statement C: In a right-angled triangle, the sum of the acute angles is always 90º.
- This statement is correct.
- In a right-angled triangle, one angle is 90 degrees. The remaining two angles, being acute, must sum to 90 degrees to maintain the total of 180 degrees.
Conclusion
- The correct answer is option A, as it is the only statement that is not correct.
- Understanding these properties helps in solving various geometric problems and is vital for exams like CTET and State TET.
In geometry, triangles have specific properties related to their angles. Let's analyze each statement to determine their correctness.
Statement A: A triangle can have more than one right angle.
- This statement is not correct.
- A triangle can only have one right angle because the sum of all angles in a triangle is always 180 degrees. If a triangle had two right angles (each 90 degrees), that would already sum to 180 degrees, leaving no room for a third angle, which is impossible.
Statement B: A triangle cannot have more than one obtuse angle.
- This statement is correct.
- An obtuse angle is greater than 90 degrees. If a triangle had two obtuse angles, their sum would exceed 180 degrees, violating the fundamental rule that the sum of all angles in a triangle must equal 180 degrees.
Statement C: In a right-angled triangle, the sum of the acute angles is always 90º.
- This statement is correct.
- In a right-angled triangle, one angle is 90 degrees. The remaining two angles, being acute, must sum to 90 degrees to maintain the total of 180 degrees.
Conclusion
- The correct answer is option A, as it is the only statement that is not correct.
- Understanding these properties helps in solving various geometric problems and is vital for exams like CTET and State TET.
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Which of the following is/are not correct?a)A triangle can have more than one right angle.b)A triangle cannot have more than one obtuse angle.c)In a right-angled triangle, the sum of the acute angles is always 90º.d)All of the aboveCorrect answer is option 'A'. Can you explain this answer?
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Which of the following is/are not correct?a)A triangle can have more than one right angle.b)A triangle cannot have more than one obtuse angle.c)In a right-angled triangle, the sum of the acute angles is always 90º.d)All of the aboveCorrect answer is option 'A'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about Which of the following is/are not correct?a)A triangle can have more than one right angle.b)A triangle cannot have more than one obtuse angle.c)In a right-angled triangle, the sum of the acute angles is always 90º.d)All of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is/are not correct?a)A triangle can have more than one right angle.b)A triangle cannot have more than one obtuse angle.c)In a right-angled triangle, the sum of the acute angles is always 90º.d)All of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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