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On March 17 2010 12:54 Muirhead wrote:
Man in your picture it looks acute but if ABC is equilateral it is 110 TT
Too many degrees of freedom
On March 17 2010 12:58 Ivs wrote:
The question is missing information. At the moment DEB varies, depending on the size of angle A.
Here we go, folks.
Actually I'm curious what kind of math person you are, Muirhead (student at what level? not a student?) since you seemed to have tried an assumption-first approach, like some jaded experienced solver.
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I've seen this problem before, and I believe you've incorrectly stated it. I believe the problem specifies that angle A is twenty degrees.
The information you have now is insufficient to determine the triangles, as Muirhead and love1another have pointed out.
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I've been working on this problem for a half hour (I'm a mathematician) and I still can't make any headway on it -.-' If there's actually a measure for angle A that should have been given, then this problem will literally take 2 seconds to figure out >.> I can't see any way of solving this problem as is.
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I'm a student somewhere in limbo between graduate student at UNC, undergraduate at MIT, and high school dropout 
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Ok, I solved it with a single variable left, so therefore, this question is lacking information. If you try to input any value into the answer, it will work out.
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I think we all agree that there's simply not enough information. Unless your professor has the explanation?
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I say that the angle is 25 degrees.
Here is my proof:
Assume that the angle is 25 degrees. Then we are done.
I'm just kidding.
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I just noticed that in the problems I've seen of this, the bottom two angles are given as 80 degrees each.
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On March 17 2010 13:12 Chairman Ray wrote:
Ok, I solved it with a single variable left, so therefore, this question is lacking information. If you try to input any value into the answer, it will work out.
agreed, i managed to reduce it all to one variable too.
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On March 17 2010 13:08 Severedevil wrote:
I've seen this problem before, and I believe you've incorrectly stated it. I believe the problem specifies that angle A is twenty degrees.
The information you have now is insufficient to determine the triangles, as Muirhead and love1another have pointed out.
I doubt that the measure of angle A would be specified... that would turn this problem into a 3rd grade math question.
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Math teachers in Canada are just horrible.
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On March 17 2010 13:18 synapse wrote:Show nested quote +On March 17 2010 13:08 Severedevil wrote:
I've seen this problem before, and I believe you've incorrectly stated it. I believe the problem specifies that angle A is twenty degrees.
The information you have now is insufficient to determine the triangles, as Muirhead and love1another have pointed out. I doubt that the measure of angle A would be specified... that would turn this problem into a 3rd grade math question.
Even without the angle specified, it's still a 3rd grade math question. The answer will be in terms of a variable instead of a definite angle. If you plug in several different answers and solve every angle, it will always work out.
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well, considering that we were never asked to give an explicit number as our answer, i don't see any problem at all with including a variable in the answer. if they didn't tell you all of the information that was given, who cares?
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I doubt that the measure of angle A would be specified... that would turn this problem into a 3rd grade math question.
But we think it's unsolvable without it, unless they don't want a numerical value...
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Lol, I actually hoped someone has seen this problem before and knew the immediate solution but i guess not. My teacher did give me a hint, and it was to extend a line from C but that was it; However, if you guys do not get it, it's okay; after all, took my teacher 6 months- I'm assuming this problem involves some heavy theorems and proofs.
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On March 17 2010 13:18 synapse wrote:Show nested quote +On March 17 2010 13:08 Severedevil wrote:
I've seen this problem before, and I believe you've incorrectly stated it. I believe the problem specifies that angle A is twenty degrees.
The information you have now is insufficient to determine the triangles, as Muirhead and love1another have pointed out. I doubt that the measure of angle A would be specified... that would turn this problem into a 3rd grade math question.
No, it wouldn't. You can't solve it by angle chasing. The problem requires either trigonometry or additional stuff drawn.
Try it if you don't believe me - A is supposed to be twenty degrees.
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Try it if you don't believe me - A is supposed to be twenty degrees.
You could do the problem perfectly fine if A isn't 20 degrees though :-)
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On March 17 2010 13:22 D4L[invd] wrote:
Lol, I actually hoped someone has seen this problem before and knew the immediate solution but i guess not. My teacher did give me a hint, and it was to extend a line from C but that was it; However, if you guys do not get it, it's okay; after all, took my teacher 6 months- I'm assuming this problem involves some heavy theorems and proofs.
This problem is well-known if angle A is twenty degrees... Avidkeystamper, Severedevil, and I have all seen it before.
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No. Several (no, many) people here agree that the size of the angle you want to find depends on the shape of the triangle, and the shape of the triangle can vary without breaking the problem.
Two others have mentioned seeing this problem before with an 80-80-20 (angles) triangle, so that may the missing information.
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It actually is unsolvable. Try plugging in any value in the range (0,110) and it will be correct.
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EPT
