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# DS geometry

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Manager
Joined: 12 Oct 2008
Posts: 104

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04 Jan 2009, 18:21
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pls explain
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Untitled.jpg [ 45.39 KiB | Viewed 932 times ]

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Manager
Joined: 04 Jan 2009
Posts: 237

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04 Jan 2009, 18:53
Based on the info supplied:
<CBD = 180-4x
<ABC = 180-3x
<ABD = <ABC - <CBD = 180-3x-180+4x = x
Hence, BC = BD = AD
(1) alone is sufficient.
(2) just gives the angle and not the side length. There could be many triangles which follow the description. Hence, (2) is not enough.

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SVP
Joined: 29 Aug 2007
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06 Jan 2009, 10:08
AGREE WITH A.

2X = X + ANGLE ABD.
ANGLE ABD = X
NOW AD = BD AND BD = BC.

2: X = 36 BUT NO LENGTH. SO INSUFF..
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Manager
Joined: 15 Apr 2008
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06 Jan 2009, 13:25
A

the image shows that both triangles, ABD and BDC are isosceles. statment 1 gives the length of AD=6.
so BC will also be 6

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Intern
Joined: 25 Nov 2008
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07 Jan 2009, 07:25
in this triangle
<=> <ABD=xo=> DBA is an isoceles triangle=> AD=BD
BDC is also isoceles triangle=> BD=BC
Hence A is the best choice

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Re: DS geometry   [#permalink] 07 Jan 2009, 07:25
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