Class 7 Exam > Class 7 Questions > Which of the following statements is incorrec...
Start Learning for Free
Which of the following statements is incorrect?
- a)The sum of angles in a triangle is 2 right angles.
- b)The exterior angle of a triangle is equal to the interior angle of the triangle.
- c)The hypotenuse is the longest side of a right angled triangle.
- d)All the above.
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Which of the following statements is incorrect?a)The sum of angles in ...
The correct answer is option B because in option B it is written that the Exterior angle of a triangle is equal to the interior angle of the triangle. But not fully correct because the sum of any two interior angles of a triangle cannot be equal to Exterior angle of the triangle. Exterior angle of a triangle is equal to the sum of interior opposite angles of the triangle. Hence option B is incorrect
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following statements is incorrect?a)The sum of angles in ...
Explanation:
Statement a: The sum of angles in a triangle is 2 right angles.
This statement is correct. The sum of angles in any triangle is always equal to 180 degrees, which is equivalent to 2 right angles. This is a fundamental property of triangles.
Statement b: The exterior angle of a triangle is equal to the interior angle of the triangle.
This statement is incorrect. The exterior angle of a triangle is formed by extending one of the sides of the triangle. It is always greater than any of the interior angles of the triangle. The exterior angle is equal to the sum of the two non-adjacent interior angles of the triangle.
Statement c: The hypotenuse is the longest side of a right-angled triangle.
This statement is correct. In a right-angled triangle, the hypotenuse is the side opposite the right angle. It is always the longest side in the triangle. This can be proven using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Conclusion:
Based on the explanation above, the incorrect statement is option 'B': The exterior angle of a triangle is equal to the interior angle of the triangle. This is incorrect because the exterior angle is always greater than any of the interior angles of a triangle.
Statement a: The sum of angles in a triangle is 2 right angles.
This statement is correct. The sum of angles in any triangle is always equal to 180 degrees, which is equivalent to 2 right angles. This is a fundamental property of triangles.
Statement b: The exterior angle of a triangle is equal to the interior angle of the triangle.
This statement is incorrect. The exterior angle of a triangle is formed by extending one of the sides of the triangle. It is always greater than any of the interior angles of the triangle. The exterior angle is equal to the sum of the two non-adjacent interior angles of the triangle.
Statement c: The hypotenuse is the longest side of a right-angled triangle.
This statement is correct. In a right-angled triangle, the hypotenuse is the side opposite the right angle. It is always the longest side in the triangle. This can be proven using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Conclusion:
Based on the explanation above, the incorrect statement is option 'B': The exterior angle of a triangle is equal to the interior angle of the triangle. This is incorrect because the exterior angle is always greater than any of the interior angles of a triangle.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer?
Question Description
Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer?.
Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following statements is incorrect?a)The sum of angles in a triangle is 2 right angles.b)The exterior angle of a triangle is equal to the interior angle of the triangle.c)The hypotenuse is the longest side of a right angled triangle.d)All the above.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup