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

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Manager
Joined: 13 Sep 2006
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Schools: Olin Business School - Washington University
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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 361 times ]

Director
Joined: 23 Jun 2005
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GMAT 1: 740 Q48 V42
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[#permalink]  16 Sep 2006, 06:59
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
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[#permalink]  16 Sep 2006, 07:01
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
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[#permalink]  16 Sep 2006, 13:50
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

so, answer is A
Senior Manager
Joined: 20 Feb 2006
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[#permalink]  16 Sep 2006, 16:22
I got A too.

Angle ADB = 180-2x

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

This tells us ADB is an isoceles triangle and so AD=BD=BC
Manager
Joined: 13 Sep 2006
Posts: 198
Schools: Olin Business School - Washington University
Followers: 1

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

[#permalink]  16 Sep 2006, 21:55
OA is A

I originally thought it was C too. Thanks to everyone who responded!
[#permalink] 16 Sep 2006, 21:55
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