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GMATPREP Triangle DS

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Senior Manager
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GMATPREP Triangle DS [#permalink] New post 20 Sep 2006, 17:58
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Please explain
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Senior Manager
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 [#permalink] New post 20 Sep 2006, 19:39
Going with A here

ADB is isoceles so AD=DB
BDC is isoceles so DB= BC

From A we know AD = 6 , hence BC =6 Suff

From B we just know the value of angle , doesn't tell anything about the lenth of any side . InSuff.
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 [#permalink] New post 20 Sep 2006, 20:02
ivymba wrote:
ADB is isoceles so AD=DB


How do we know ADB is isoceles? it doesn't explicitly say that

My answer is E

Since we don't know ADB is isoceles, AD =6 is insufficient.

For 2nd statement, x=36, solving for angle DBC gives us 36
but since we don't know angle ADB, that is insufficient too
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 [#permalink] New post 20 Sep 2006, 20:42
I think ADB is isosceles.

Angle_ADB = (180-2x)

Angle_ABD = 180 - x - (180-2x) = x = Angle_DAB

So AD = DB = BC, AD is given so we know BC. So S1 is sufficient.

I also agree answer is A I don't see how to get the answer from S2.

carlos
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 [#permalink] New post 20 Sep 2006, 22:17
I asked this the other day and got some satisfactory responses…you can check out the link here:

http://www.gmatclub.com/phpbb/viewtopic.php?t=35285
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 [#permalink] New post 20 Sep 2006, 22:35
angle bdc = angle dab +dba = 2x ( exterior angle )

thus dba is x , triangle abd is isosceles and thus bd = 6

bd = bc ( issoceles triangle ) thus bc = 6

st two : gives measure of x and nothing about lenghtes of line segments...insuff

My answer is A
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 [#permalink] New post 21 Sep 2006, 09:26
HI All,
Sorry for being late. The answer is definately A. If anyone has doubt as why AD and BD are congruent, here is the rule.

" Exterior angle of a triangle is equal to sum of its remote interior angle"

Here, Exterior angle : BDC = 2x
Remote interior angle : BAD and ABD.

BAD + ABD = BDC
ABD = BDC - BAD = 2x -x = x which is equal to BAD.
Hence ABD = DAB.
AD = BD = 6 = BC.


Hope this helps.
  [#permalink] 21 Sep 2006, 09:26
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