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AB or BC

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Carcass
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AB or BC [#permalink] New post   30 Nov 2022, 08:38
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Quantity A
Quantity B
AB
BC



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


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D
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D
Carcass
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Re: AB or BC [#permalink] New post   02 Dec 2022, 10:14
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We have information about ONLY the angle 30° and we can infer that the angle at the bottom is 90° No more than this

without any other information is impossible to calculate the length of any side of the triangle or part of them

D is the answer
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Re: AB or BC [#permalink] New post   02 Dec 2022, 18:29
Wouldn't the information given make angles B and C both 60 degrees and thus make the triangle equal? Is it possible that the angles are all equal but one side of the triangle is bigger than the other?
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AB or BC [#permalink] New post   02 Dec 2022, 18:55
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rainer85 wrote:
Wouldn't the information given make angles B and C both 60 degrees and thus make the triangle equal? Is it possible that the angles are all equal but one side of the triangle is bigger than the other?


It would if angle DBC was 90 degrees. But in the wonderland of GRE tests, just because an angle looks like it's 90 degrees doesn't mean it is 90 degrees.

Geometric figures are not drawn to scale.

Hope this helps clarify things.
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Re: AB or BC [#permalink] New post   03 Dec 2022, 02:25
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rainer85 wrote:
Wouldn't the information given make angles B and C both 60 degrees and thus make the triangle equal? Is it possible that the angles are all equal but one side of the triangle is bigger than the other?


Not possible what you said.

the sides are in the same ratio of the angles
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Re: AB or BC [#permalink] New post   13 Apr 2023, 21:22
If both angles are same then AB = BC right ?
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Re: AB or BC [#permalink] New post   13 Apr 2023, 23:43
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yes
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Re: AB or BC [#permalink] New post   14 Apr 2023, 04:01
Carcass wrote:
yes

But OA is D
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Re: AB or BC [#permalink] New post   14 Apr 2023, 05:12
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Ok let be clear on this. Because I believed you posed a hypothetical question............anyway


We can have the first scenario in which the two angles are 90° and the angles A and C are 60°


Attachment:
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screenshot.1261.jpg [ 77.93 KiB | Viewed 855 times ]


In this case the answer is C. AB = BC

But if one side is shorter than the other we know that the two angles A and C are NOT equal. C < A. Therefore AB > BC

Attachment:
screenshot.1262.jpg
screenshot.1262.jpg [ 63.27 KiB | Viewed 874 times ]


D is the answer
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