The following is not a triangle:
A) (2,3,4) B) (3,4,5) C) (5,5,5) D) (1,3,5)

• d)because following condition should met a+b>c
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• B is right angle triangle by pythagoras theorem
  C is a Equilateral triangle
  A is a triangle whose two sides are greater than third ie. 2+3>4
  therefore D is not a triangle since it does not meet the above condition
  
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• ANS : D
  For any 3 line segments to form a triangle,the sum of any 2 sides taken, should be greater than the 3rd side.B'coz otherwise it will not form a triangle. The extreme case arises when the sum of 2 sides equals the 3rd side. This triangle ceases to form a line segment;ie, the 3 side lie on the same line.
  In the given case,only the triangle(D) dissagrees the condition,since 1+3 = 4 < 5
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• Ans D
  no planar triangle exists with sides 1, 3, 5 since 1+3
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• solution is quite simple the formula is a+b
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• any triangle should satisfy 2 conditions :
  1)sum of 2 sides of triangle should be greater than the third side
  2)difference b/w two sides should be less than the third side
  so 1+3 < 5 which doesn't satisfy 1st condition
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• Option D)(1,3,5)
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• sum of two sides of a triangle is always greater than the third side
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• sum of any two sides of a triangle should be greter than third side
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• option is d bcoz this points not make triangle
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• d
  sum of 2 sides of a triangle is greater than the third side
  
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• D
  as sum of two sides must be greater than a side but in this case(1+3
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• option d
  sum of any two sides always greater than it's third side......
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• condition that should be satisfied is a+b>c
  but,in the option 'd' 1+3!>5
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• ANS:D bcz a+b>c
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• Ans D)sum of two sides are always greater than third sides
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• for a triangle=sum of two smallest side will not exceed the value of the longest side.here d is incorrect 1+3=4
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• D(1,3,5) is not a triangel as 1+3
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• d) (1,3,5)
  
  third side of triangle is less than sum of two other sides
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• d (a+b)>=c
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• D) sum of two sides must be greater than three
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• d)because the sum of any two sides of a triangle should be greater than the third one.
  
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• condition that should be satisfied is a+b>c
  but,in the option 'd' 1+3!>5
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• D
  because following condition should met a+b>c
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• option d) because it does not satisfy the condition a+b>c
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• D)(1,3,5)..Given any triangle, if a, b, and c are the lengths of the sides, the following is always true:
  
  a + b > c
  
  a + c > b
  
  b + c > a
  
  The triangle inequality theorem is very useful when one needs to determine if any 3 given sides will form of a triangle or not.
  
  In other words, if the 3 conditions above are not met, you can immediately conclude that it is not a triangle.
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