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# D01-34

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Intern
Joined: 06 Jun 2017
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27 Nov 2017, 04:19
Bunuel wrote:
Official Solution:

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

Statement 1: If $$|x| = y = 10$$, $$y$$ is 10 but $$x$$ could be -10 or 10. The area is same for $$x = 10$$ and $$x = -10$$. This is sufficient to answer the question.

Statement 2: If $$x = |y| = 10$$, $$x = 10$$ but $$y$$ could be 10 or -10 but different value of $$y$$ does not affect the area of the triangle. This statement is also sufficient to answer the question.

Hi ,
If I use the formula |( ax(by-cy)+bx(cy-ay)+cx(ay-by) )/2 | , then I don't need Bx for finding the area. This makes statement 1 irrelevant. I just need Y. From statement 2 , I get Y = +/- 10 and since I m taking a mod at the end +/- has no impact. So cant I just say statement 2 just suffices to answer this?
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Joined: 02 Sep 2009
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27 Nov 2017, 05:16
HariharanIyeer0 wrote:
Bunuel wrote:
Official Solution:

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

Statement 1: If $$|x| = y = 10$$, $$y$$ is 10 but $$x$$ could be -10 or 10. The area is same for $$x = 10$$ and $$x = -10$$. This is sufficient to answer the question.

Statement 2: If $$x = |y| = 10$$, $$x = 10$$ but $$y$$ could be 10 or -10 but different value of $$y$$ does not affect the area of the triangle. This statement is also sufficient to answer the question.

Hi ,
If I use the formula |( ax(by-cy)+bx(cy-ay)+cx(ay-by) )/2 | , then I don't need Bx for finding the area. This makes statement 1 irrelevant. I just need Y. From statement 2 , I get Y = +/- 10 and since I m taking a mod at the end +/- has no impact. So cant I just say statement 2 just suffices to answer this?

What's your point? The correct answer to this question is D, which means that EACH statement ALONE is sufficient to answer the question asked.
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Joined: 09 Jun 2014
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17 Dec 2017, 00:47
I think this is a high-quality question and I agree with explanation. loved the concept!!
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Joined: 09 Jun 2014
Posts: 218
Location: India
Concentration: General Management, Operations
Schools: Tuck '19

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18 Dec 2017, 06:17
I think this is a high-quality question. loved it.
Intern
Joined: 27 Mar 2017
Posts: 3
Location: Brazil
GPA: 2.99

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18 Feb 2018, 09:18
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. It is not clear in the explanation why the area is the same
Intern
Joined: 27 May 2018
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28 Sep 2018, 06:05
Hi Brunuel,

I agree with your explanation. But let me put my version.

For statement 1, if i take (10,10) as B, i get distance from A as ~6 & from B as ~ 18.
if i take as (-10,10) as B, i get distance from A as ~18 & from B as ~36.
Heron's formula gives different answers for these values. So i believe 1 is not sufficient. However i am confused as your explanation also sounds good. Kindly explain
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Joined: 02 Sep 2009
Posts: 52131

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28 Sep 2018, 08:02
duttvelagapudi wrote:
Hi Brunuel,

I agree with your explanation. But let me put my version.

For statement 1, if i take (10,10) as B, i get distance from A as ~6 & from B as ~ 18.
if i take as (-10,10) as B, i get distance from A as ~18 & from B as ~36.
Heron's formula gives different answers for these values. So i believe 1 is not sufficient. However i am confused as your explanation also sounds good. Kindly explain

I think the following post should help: https://gmatclub.com/forum/d01-183495.html#p1418464
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Status: All our dreams can come true, if we have the courage to pursue them
Joined: 03 Jul 2015
Posts: 25
Location: India
Concentration: Technology, Finance
WE: Information Technology (Computer Software)

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17 Nov 2018, 05:30
I think this is a high-quality question and I agree with explanation.
Intern
Joined: 21 Aug 2018
Posts: 10
Location: India

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18 Nov 2018, 04:42
I fail to understand how is the height of the triangles calculated? please explain.
Intern
Joined: 13 Nov 2018
Posts: 12
GMAT 1: 650 Q39 V40

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16 Dec 2018, 15:26
The graph did everything. I am so mad I missed this question now.
Re: D01-34 &nbs [#permalink] 16 Dec 2018, 15:26

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# D01-34

Moderators: chetan2u, Bunuel

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