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27 Jul 2016, 01:44
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
71% (00:46) correct
29%
(00:46)
wrong
based on 163
sessions
History
Date
Time
Result
Not Attempted Yet
If 4 and 11 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 13
III. 15
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
I. 5
II. 13
III. 15
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
27 Jul 2016, 02:36
Kudos
Bookmarks
Bunuel
Relationship of the Sides of a Triangle :
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.
i.e let us assume the third side be c and other sides be a and b, then as per rule
c > a - b and c < a + b.
Let's take options
option 1. the three sides will be 5 , 4 and 11..
then 11 > 5-4 --Yes
11 < 4+9...NO
option 2... 13, 4 and 11.
then 13 > 11-4...Yes
13 < 11+4...Yes
Option 3..15 ,4 and 11.
15 < 11+4...No
15 > 11-4...Yes...
Only 13 is correct .
IMO option B is correct..
OA please...will correct if I missed anything.
27 Jul 2016, 07:56
Kudos
Bookmarks
Bunuel
The sum of the lengths of any two sides of a triangle must be greater than the third side.
I.
\(4 + 11 > 5\\\\
4 + 5 > 11 {\color{red}{\text{ false}}}\\\\
11 + 5 > 4\)
II.
\(4 + 11 > 13\\\\
4 + 13 > 11\\\\
11 + 13 > 4\)
III.
\(4 + 11 > 15 {\color{red}{\text{ false}}}\\\\
4 + 15 > 11\\\\
11 + 15 > 4\)
B. II only
