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21 Aug 2018, 20:48
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A
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Difficulty:
15%
(low)
Question Stats:
75% (00:33) correct
25%
(00:30)
wrong
based on 104
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If 7 and 10 are the lengths of two sides of a triangle, which of the following can be the length of the third side?
I. 2
II. 8
III. 17
A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
I. 2
II. 8
III. 17
A. II only
B. III only
C. I and II only
D. II and III only
E. I, II, and III
Chethan92
Joined: 18 Jul 2018
Last visit: 21 Apr 2022
Posts: 901
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Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy)
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21 Aug 2018, 20:54
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The third side of triangle should be greater than the difference between the other two sides and less than the sum of the other two sides.
10-7 < x < 10+7
3 < x < 17
Only 8 satisfies the answer.
A is the answer.
Posted from my mobile device
10-7 < x < 10+7
3 < x < 17
Only 8 satisfies the answer.
A is the answer.
Posted from my mobile device
21 Aug 2018, 21:33
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Bunuel
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
So, \((10-7)<x<(10+7)\)
Or, \(3<x<17\).
Hence 2 and 17 cannot be the length of the third side but 8 can be.
Ans.(A)
