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Which is greater AB or BC

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Carcass
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Which is greater AB or BC [#permalink] New post   09 Oct 2017, 02:46
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Attachment:
#GREpracticequestion Which is greater AB or BC.jpg
#GREpracticequestion Which is greater AB or BC.jpg [ 9.25 KiB | Viewed 4789 times ]



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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C
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Re: AB vs BC [#permalink] New post   09 Oct 2017, 03:59
Carcass wrote:



Attachment:
angles.jpg


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.



Here angle ACB = 180 -120 = 60 degree

Now angle ABC = 180 - (60+60) = 60 degree

Therefore\(\triangle\)ABC = equilateral triangle and all sides are equal.

Hence option C
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Re: AB vs BC [#permalink] New post   09 Oct 2017, 06:38
Angle ACB is 180-120 = 60°. Sides length is proportional to angle measures meaning that the longest side corresponds to the largest angle.

Now, since angle ACB and BAC are equal, also the correspondent sides will be equal.

Then, AB = BC and answer is C!
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Re: AB vs BC [#permalink]
09 Oct 2017, 06:38
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