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Are two triangles congruent?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 47110
Are two triangles congruent?  [#permalink]

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New post 10 Aug 2017, 03:31
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

65% (00:36) correct 35% (00:26) wrong based on 78 sessions

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Intern
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Joined: 06 Feb 2016
Posts: 48
Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
GPA: 3.5
Re: Are two triangles congruent?  [#permalink]

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New post 10 Aug 2017, 12:28
An interesting question. Seems too difficult and too easy at the same time. My answer is E. I believe there are many possible cases.
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Re: Are two triangles congruent?  [#permalink]

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New post 10 Aug 2017, 22:16
1. Both triangles are right triangles.
Knowing that the two triangles are right angled, does not
confirm if the triangles are congruent.
3-4-5 and 6-8-10 are both right angled but not congruent(Insufficient)

2. Both triangles have the same perimeter.
3-4-5 and 4-4-4 have same perimeter but aren't congruent(Insufficient)

On combining both the statements,
Lets take case of Pythagorean triplets
Triangle 1 with sides 21,28 and 35
Triangle 2 with sides 12,35 and 37
Both are right angled triangles of same perimeter but not congruent.(Option E)

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Re: Are two triangles congruent? &nbs [#permalink] 10 Aug 2017, 22:16
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