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In triangle ABC above, what is the lenght of side BC? 1)

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In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 16 Jul 2007, 13:44
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

42% (00:59) correct 58% (00:35) wrong based on 41 sessions

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In triangle ABC above, what is the lenght of side BC?

1) line segment AD has lenght 6

2) x=36


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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 16 Jul 2007, 14:03
Where is the figure? Without the figure, it is kind of hard to picture where x is and where point D lies.
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 16 Jul 2007, 14:06
don't you see it?? i ve attached it with the post... :? ????
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 16 Jul 2007, 14:57
1
Sorry, I did see it now.

The answer should be A.

We know from the figure that <BAC=x , <BDC=<BCD=2x
So BD=BC, since <BDC=<BAC+<ABD, this tells you <ABD=x as well.
Therefore, AD=BD, since we have already find out that BD=BC, so AD=BC. Statement 1 alone is sufficient.

Statement 2 tells you the value of X, but didn't tell you anything about the length of the segment, therefore is not sufficient.
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 23 Oct 2010, 15:12
Awesome 8-)
Just one simple explanation for how <BDC = <BAC+<ABD, exterior angle in a triangle is the sum of the opposite interior angles. It took me a while to figure it out, may be helpful.
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 08 Nov 2010, 06:06
+1 A 8-)
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 22 Nov 2010, 09:17
I was going to pick A originally, but upon seeing that x=36 (I assumed that x should be 30), I felt no choice but to pick C.

Why is it unnecessary to know what x is?
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 22 Nov 2010, 13:15
rockzom wrote:
I was going to pick A originally, but upon seeing that x=36 (I assumed that x should be 30), I felt no choice but to pick C.

Why is it unnecessary to know what x is?


Regardless of the actual value of x, we can show that triangle ADB is an isosceles triangle.

Within the bounds of the givens in this problem, changing x will only lead to changes in the length of side AB and DC.
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 22 Nov 2010, 13:36
(180 -2x) + x + ABD = 180

therefore x= abd

So, AB=BD=BC=6; Answer A is sufficient.

B is not sufficient since merely knowing angles does not reach upon length of AB.


Answer:- A
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Re: In triangle ABC above, what is the lenght of side BC? 1)  [#permalink]

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New post 21 Aug 2017, 07:01
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In triangle ABC above, what is the length of side BC?

Since AD = BD = BC.

Question: BC=?

(1) Line segment AD has length 6 --> AD = BD = BC = 6. Sufficient.

(2) x = 36 --> we know only angles which is insufficient to get the length of any line segment.

Answer: A.


OPEN DISCUSSION OF THIS QUESTION IS HERE: in-triangle-abc-above-what-is-the-length-of-side-bc-168281.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: In triangle ABC above, what is the lenght of side BC? 1)   [#permalink] 21 Aug 2017, 07:01
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