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

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Intern
Joined: 10 Apr 2014
Posts: 32
If BC = BD, what is the length of BC?  [#permalink]

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12 Apr 2014, 11:27
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3
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Difficulty:

75% (hard)

Question Stats:

48% (01:42) correct 52% (01:50) wrong based on 139 sessions

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

(1) x = 30

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Senior Manager
Joined: 17 Sep 2013
Posts: 329
Concentration: Strategy, General Management
GMAT 1: 730 Q51 V38
WE: Analyst (Consulting)
Re: If BC = BD, what is the length of BC?  [#permalink]

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

1) x = 30

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

As BD=BC
As given in B
So B it is

Kudos if I helped..
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Joined: 02 Sep 2009
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If BC = BD, what is the length of BC?  [#permalink]

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13 Apr 2014, 06:56
1

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

Look at the diagram below:

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.

Hope it's clear.

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

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14 Aug 2018, 03:04
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Re: If BC = BD, what is the length of BC?   [#permalink] 14 Aug 2018, 03:04
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