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06 Apr 2023, 09:45
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
38% (01:09) correct
62%
(01:02)
wrong
based on 78
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(a + b > c\)?
(1) a, b, and c represent three different lengths of the sides of a certain triangle
(2) \(a^2+b^2=c^2\)
(1) a, b, and c represent three different lengths of the sides of a certain triangle
(2) \(a^2+b^2=c^2\)
06 Apr 2023, 23:07
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Bunuel
Statement 1
(1) a, b, and c represent three different lengths of the sides of a certain triangle
As a, b, and c represents three different sides of a triangle
|a-b| < c < a + b
Therefore c is always less than a + b.
The information is sufficient to answer the question Is \(a + b > c\)? - Yes !
Statement 2
(2) \(a^2+b^2=c^2\)
1) a = 3, b = 4 , c = 5
Is \(a + b > c\)? - Yes !
2) a = 3, b = -4 , c = 5
Is \(a + b > c\)? - No !
As we are getting two contradicting answers to the question, the statement alone is not sufficient.
Option A
25 Apr 2023, 16:56
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Statement 1
Rule of triangles is that any 2 sides combined will always be more than the third side
Sufficient
Statement 2
Although this is another familiar rule of triangles, it has nothing to do with statement 1, and should be treated as nothing more than an equation
if a = 3, b = 4, c = 5 --> Yes
if a = 3, b = -4, c = 5 --> No
Insufficient
Rule of triangles is that any 2 sides combined will always be more than the third side
Sufficient
Statement 2
Although this is another familiar rule of triangles, it has nothing to do with statement 1, and should be treated as nothing more than an equation
if a = 3, b = 4, c = 5 --> Yes
if a = 3, b = -4, c = 5 --> No
Insufficient
