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Couldnt figure this one out - any explanations would be a

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Manager
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Couldnt figure this one out - any explanations would be a [#permalink] New post 16 Sep 2006, 06:39
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A
B
C
D
E

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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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 [#permalink] New post 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, :oops: sorry.
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 [#permalink] New post 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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 [#permalink] New post 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
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 [#permalink] New post 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
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 [#permalink] New post 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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