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If BC = BD, what is the length of BC?

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If BC = BD, what is the length of BC?  [#permalink]

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New post 12 Apr 2014, 11:27
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If BC = BD, what is the length of BC?

(1) x = 30
(2) AD = 1


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If BC = BD, what is the length of BC?  [#permalink]

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New post 13 Apr 2014, 06:56
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If BC = BD, what is the length of BC?

Look at the diagram below:
Image
As you can see fro the stem we can get that \(\angle{DBA\angle{DAB}=2x\), from which it follows that AD = BD, thus AD = BD = BC.

(1) x = 30. This statement must be insufficient, because we are asked to find the length and all we know are angles. Not sufficient

(2) AD = 1 --> we know that AD = BC, thus BC = 1. Sufficient.

Answer: B.

Hope it's clear.

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Re: If BC = BD, what is the length of BC?  [#permalink]

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New post 12 Apr 2014, 16:21
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ind23 wrote:
If BC = BD, what is the length of BC?

1) x = 30
2) AD = 1


An easy one..just assign x to Angle-BDC & Angle-BCD..keep on applying the Sum of all angles is 180 rule until you get all the angles in terms of x
You get
-->Angle DAB = Angle DBA = 2x
--> AD = BD

As BD=BC
--> AD=BD=BC=1
As given in B
So B it is

Kudos if I helped..
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Re: If BC = BD, what is the length of BC?  [#permalink]

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New post 01 Dec 2019, 03:05
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Re: If BC = BD, what is the length of BC?   [#permalink] 01 Dec 2019, 03:05
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