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21 Feb 2021, 08:26
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
54% (00:57) correct
46%
(00:42)
wrong
based on 168
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of triangle ABC?
(1) AB = 5, AC = 12
(2) ABC is a right triangle
(1) AB = 5, AC = 12
(2) ABC is a right triangle
22 Feb 2021, 01:12
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Hoozan
It's a common trap for takers to answer this question as Option C. The reason for this trap is that we don't probe enough. We always need to test if there is unique triangle that we are getting with given input or there are more than one possible triangles.
IMPORTANT QUESTION TO PROBE:
- WHere is the right angle being formed??? Is it between sides of length 5 and 12 or 12 may be Hypotenuse as well because the question doesn't specify that the length of all sides are integers
Combining the statements
Case 1: AB = 5, AC = 12 and BC \(= √(12^2+5^2) = 13\) (Assuming that 13 is hypotenuse)
Case 2: AB = 5, AC = 12 and BC \(= √(12^2-5^2) = √119\) (Assuming that 12 is hypotenuse)
Two possible triangles and two possible areas hence
NOT SUFFICIENT
Answer: Option E
Hoozan
General Discussion
21 Feb 2021, 08:48
Kudos
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GMATBusters is this similar to what we were discussing? Could you probably attach a few links that test this concept
