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If BC = BD, what is the length of BC? (1) x = 30 (2) AD = 1

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Manager
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Joined: 28 Aug 2009
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If BC = BD, what is the length of BC? (1) x = 30 (2) AD = 1 [#permalink]

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New post 29 Aug 2009, 11:46
1
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A
B
C
D
E

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

(1) x = 30

(2) AD = 1

IMO C since
By 1) ABD=equilateral BDC= scalene..insuff

BY 2) insuff

together...suff

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Re: Lots of triangles [#permalink]

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New post 29 Aug 2009, 11:50
This is a 90-60-30 triangle.Hence if AD=1.Then AC=2.
Since AC=BD(angle BAD=angle BDA).Hence AB=BC=1.
Hence only (2) is sufficient.
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Re: Lots of triangles [#permalink]

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New post 29 Aug 2009, 11:53
2
Only 2 would be sufficient.
As it is clear it can be solved by even 2 alone.
Further discussion on this topic would be pointless.
Bring another one :lol:
Manager
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Re: Lots of triangles [#permalink]

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New post 29 Aug 2009, 12:58
i think the reason why B is the ans is :

angle ABD = angle BCD + angle BDC ( exterier angle = sum of opp angles )

= 2X = angleDAB ( given )

thus AD = BD

but BD = BC

So AD = BC

This is the way and the solution

Just FYI if there were any use of angle here or value of X then also stmt one was not needed as by calculating without any stmt also we can get X = 30 here
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Re: Lots of triangles [#permalink]

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New post 29 Aug 2009, 19:06
rohansherry wrote:
i think the reason why B is the ans is :

angle ABD = angle BCD + angle BDC ( exterier angle = sum of opp angles )

= 2X = angleDAB ( given )

thus AD = BD

but BD = BC

So AD = BC

This is the way and the solution

Just FYI if there were any use of angle here or value of X then also stmt one was not needed as by calculating without any stmt also we can get X = 30 here


This is the correct solution.
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Re: Lots of triangles [#permalink]

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New post 30 Aug 2009, 01:51
i get it,you donot need to know the angle..thanks guys
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Re: If BC = BD, what is the length of BC? (1) x = 30 (2) AD = 1 [#permalink]

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New post 23 Aug 2017, 17:40
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Re: If BC = BD, what is the length of BC? (1) x = 30 (2) AD = 1   [#permalink] 23 Aug 2017, 17:40
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If BC = BD, what is the length of BC? (1) x = 30 (2) AD = 1

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