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

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Senior Manager
Joined: 22 Sep 2005
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In triangle ABC above, what is the length of side BC? 1) [#permalink]  14 Nov 2006, 11:10
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In triangle ABC above, what is the length of side BC?

1) Line segment AD has lenght 6.

2) x= 36
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Senior Manager
Joined: 22 Sep 2005
Posts: 279
Followers: 1

Kudos [?]: 89 [0], given: 1

Why A????

Senior Manager
Joined: 08 Jun 2006
Posts: 342
Location: Washington DC
Followers: 1

Kudos [?]: 23 [0], given: 0

From1
DAC + ABD = 2X
=> X + ABD = 2X
=> ABD = X
So AD = DB again DB = BC
BC = 6

But from hint 2 ..we donâ€™t know the length
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
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Kudos [?]: 184 [0], given: 0

St1:
We know angle DBC = (180 - 4x). We also know angle ABC = (180 - 3x). So angle ABD = 180-3x - 180 + 4x = x.

So ABD is an isoceles triangle and AD = DB = 6. Since DBC is another isoceles triangle and DB = BC, then BC = 6. Sufficient.

St2:
Only tells us DBC is an isoceles triangle but we do not know any of the dimensions.
Insufficient.

Ans A
Senior Manager
Joined: 22 Sep 2005
Posts: 279
Followers: 1

Kudos [?]: 89 [0], given: 1

You are right.

Oa is A.

Thanks.
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