Class 9 Exam  >  Class 9 Questions  >  If one angle is the average of the other two ... Start Learning for Free
If one angle is the average of the other two angles and the difference between the greatest and least angles
is 60°, then the formed triangle is :-
  • a)
    An isosceles triangle
  • b)
    An equilateral triangle
  • c)
    A right angled triangle
  • d)
    A right angled isosceles triangle
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If one angle is the average of the other two angles and the difference...
Let's call the three angles A, B, and C.

We know that the average of two angles is equal to the third angle, so we can set up the equation:

(A + B)/2 = C

We also know that the difference between the greatest and least angles is 60, so we can set up another equation:

C - A = 60

We can solve these equations simultaneously to find the values of A, B, and C.

From the first equation, we have:

A + B = 2C

Substituting this into the second equation, we get:

2C - A = 60

Rearranging this equation, we have:

A = 2C - 60

Substituting this value of A back into the first equation, we have:

(2C - 60) + B = 2C

Simplifying this equation, we get:

B = 60

So, the middle angle B is 60 degrees.

From the first equation, we have:

A + 60 = 2C

Substituting this into the second equation, we get:

2C - A = 60

Substituting the value of A from the first equation, we have:

2C - (2C - 60) = 60

Simplifying this equation, we get:

60 = 60

This equation is true, which means that the values of A, B, and C can be any numbers that satisfy the given conditions.

Therefore, we cannot determine the exact values of A, B, and C without additional information.
Free Test
Community Answer
If one angle is the average of the other two angles and the difference...
C


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 9

If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer?
Question Description
If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. 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 If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. 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 If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. 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 If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If one angle is the average of the other two angles and the difference between the greatest and least anglesis 60°, then the formed triangle is :-a)An isosceles triangleb)An equilateral trianglec)A right angled triangled)A right angled isosceles triangleCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev