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15 Sep 2016, 15:11
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
33% (02:47) correct
67%
(02:53)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
This is the second of two question inspired by this flawed question:
in-the-figure-attached-triangle-abc-is-inscribed-215771.html#p1735468
The first is here:
1-in-the-figure-above-triangle-abc-is-inscribed-in-the-circle-with-c-225608.html
inscribed triangle.JPG [ 18.92 KiB | Viewed 2958 times ]
In the figure above, triangle ABC is inscribed in the circle with center O, such that CD is perpendicular to AB. If the length of side AC is 5 and arc AB has a length of \(\frac{10}{9}\sqrt{3}\pi\), find the perimeter of the triangle.
(A) 14
(B) 15
(C) 16
(D) 20
(E) none of the above
MorningRunner, this might be of interest to you.
Mike
in-the-figure-attached-triangle-abc-is-inscribed-215771.html#p1735468
The first is here:
1-in-the-figure-above-triangle-abc-is-inscribed-in-the-circle-with-c-225608.html
Attachment:
inscribed triangle.JPG [ 18.92 KiB | Viewed 2958 times ]
(A) 14
(B) 15
(C) 16
(D) 20
(E) none of the above
MorningRunner, this might be of interest to you.
Mike
25 Sep 2016, 05:10
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Bookmarks
Hi Mike (@mikemcgarry) ,
Could you please post the solution.
I tried bit not able to solve this one.
Could you please post the solution.
I tried bit not able to solve this one.
25 Sep 2016, 17:17
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0ld
Dear 0ld,
I'm happy to respond.
I came up with this problem on the fly, responding to another problem. Now that I look at it, I see it has some issues. First of all, one of the numbers given the problem was incorrect: I corrected that mistake above. More importantly, to solve the problem directly, from the information given, would involve math way beyond the GMAT---it would involve some advanced trigonometric calculations. Sticking purely to GMAT-level math, the best we can do is take a guess in the dark and then verify that our guess works.
I have written a solution that demonstrates this kind of approach: guessing an answer, based on scant surmisings, and then verifying that this guess works.
Attachment:
This problem is way too hard for the GMAT. The GMAT would never put you in a position in which your only option was to guess and then verify your guess. So, don't worry if you were not able to solve it! 
Does all this make sense?
Mike
