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a triangle ABC with a point D on side AC, is triangle ABC is

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by nh8404052006 » Mon Sep 01, 2008 6:31 pm
Image a triangle ABC with a point D on side AC, is triangle ABC isosceles?

(1) The area of triangular ABD is equal to the area of triangle region DBC
(2) BD is perpendicular to AC and AD = DC


OA: [spoiler]B
[/spoiler]
from GMAT+Section02 Q18
Please explain
Thank
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by sethids » Tue Sep 02, 2008 4:51 am
According to properties of triangles: "If the perpendicular from one vertex bisects the opposite side, the triangle is isoceles."

Stmt1: The area of 2 sub-triangles could be equal even if the triangle ABC is scalene, isoceles or equilateral. Insufficient.
Stmt2 states this property and hence is sufficient. Answer B.
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Re: a triangle ABC with a point D on side AC, is triangle AB

by Ian Stewart » Tue Sep 02, 2008 8:20 am
nh8404052006 wrote: from GMAT+Section02 Q18
Is this from GMAT+ (GMATPlus), or am I misunderstanding the reference? When it was in operation, GMATPlus published live GMAT questions, and GMAC successfully won a lawsuit against them a few years ago; GMATPlus materials should not be consulted.
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