Class 9 Exam > Class 9 Questions > Which of the following is incorrect ?a)If two...
Start Learning for Free
Which of the following is incorrect ?
- a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to it
- b)Sum of any two sides of a triangle is greater than twice the median drawn to the third side
- c)The sum of any two sides of a triangle is always greater than the third side
- d)Sum of the three sides of a triangle is less than the sum of its three medians
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Which of the following is incorrect ?a)If two angles of a triangle are...
Explanation:
To determine which statement is incorrect, let's analyze each option:
a) If two angles of a triangle are unequal, then the greater angle has the greater side opposite to it:
This statement is correct. According to the triangle inequality theorem, the side opposite the greater angle is always longer than the side opposite the smaller angle.
b) Sum of any two sides of a triangle is greater than twice the median drawn to the third side:
This statement is correct. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. Additionally, the median drawn to the third side divides it into two segments, and the sum of the lengths of these two segments is always greater than the length of the median.
c) The sum of any two sides of a triangle is always greater than the third side:
This statement is correct. As mentioned earlier, according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
d) Sum of the three sides of a triangle is less than the sum of its three medians:
This statement is incorrect. The sum of the lengths of the three sides of a triangle is always greater than the sum of the lengths of its three medians. The sum of the medians is equal to three-fourths of the perimeter of the triangle.
Therefore, the correct answer is option 'D' as it contradicts the triangle inequality theorem.
To determine which statement is incorrect, let's analyze each option:
a) If two angles of a triangle are unequal, then the greater angle has the greater side opposite to it:
This statement is correct. According to the triangle inequality theorem, the side opposite the greater angle is always longer than the side opposite the smaller angle.
b) Sum of any two sides of a triangle is greater than twice the median drawn to the third side:
This statement is correct. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. Additionally, the median drawn to the third side divides it into two segments, and the sum of the lengths of these two segments is always greater than the length of the median.
c) The sum of any two sides of a triangle is always greater than the third side:
This statement is correct. As mentioned earlier, according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
d) Sum of the three sides of a triangle is less than the sum of its three medians:
This statement is incorrect. The sum of the lengths of the three sides of a triangle is always greater than the sum of the lengths of its three medians. The sum of the medians is equal to three-fourths of the perimeter of the triangle.
Therefore, the correct answer is option 'D' as it contradicts the triangle inequality theorem.
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following is incorrect ?a)If two angles of a triangle are...
45t5ttr4n74tisudyxur7rifysut6r7rotosydigidudh9dysuf0ujg
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer?
Question Description
Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer?.
Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following is incorrect ?a)If two angles of a triangle are unequal, then the greater angle has the greater side opposite to itb)Sum of any two sides of a triangle is greater than twice the median drawn to the third sidec)The sum of any two sides of a triangle is always greater than the third sided)Sum of the three sides of a triangle is less than the sum of its three mediansCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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