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# Couldnt figure this one out - any explanations would be a

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Manager
Joined: 13 Sep 2006
Posts: 198
Schools: Olin Business School - Washington University
Followers: 1

Kudos [?]: 21 [0], given: 0

Couldnt figure this one out - any explanations would be a [#permalink]  16 Sep 2006, 06:39
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Couldnt figure this one out - any explanations would be a big help...

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

1) Line segment AD has length 6.
2) x = 36

Thanks!
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untitled.GIF [ 1.99 KiB | Viewed 453 times ]

Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 36 [0], given: 1

C

When we have the angles and the length of a side for one of the triangles, we can work out the other sides. I can't give a proper explanation, sorry.
VP
Joined: 21 Aug 2006
Posts: 1026
Followers: 1

Kudos [?]: 21 [0], given: 0

Ans is C.

Statement 1:

BD = BC (opposite angles are equal)

From length of AD alone we can't find out the length of BC.

Statement 2:

Angle BDA = 180- 2x = 180 - 72 = 108

Angle A = 36 & Angle ADB = 36, now we can say the length of AD = BD = 6

Statement 1 & 2, we know that BD= BC = AD, and hence BC =6
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Senior Manager
Joined: 15 Jul 2006
Posts: 381
Followers: 1

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

Explanation:
angle by pt. D is 180-2x

this means that angle abd is 180-(180-2x)-x =x

that means that AD = BD = 6

Senior Manager
Joined: 20 Feb 2006
Posts: 373
Followers: 1

Kudos [?]: 7 [0], given: 0

I got A too.

We know other angle in triangle ABD is x therefore so will the 3rd.

Manager
Joined: 13 Sep 2006
Posts: 198
Schools: Olin Business School - Washington University
Followers: 1

Kudos [?]: 21 [0], given: 0

OA is A

I originally thought it was C too. Thanks to everyone who responded!
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