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# D01-34

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Intern
Joined: 06 Jun 2017
Posts: 5

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27 Nov 2017, 05:19
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?
Math Expert
Joined: 02 Sep 2009
Posts: 47112

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27 Nov 2017, 06:16
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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Intern
Joined: 09 Jun 2014
Posts: 47
Location: United States
Concentration: General Management, Operations

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17 Dec 2017, 01:47
I think this is a high-quality question and I agree with explanation. loved the concept!!
Intern
Joined: 09 Jun 2014
Posts: 47
Location: United States
Concentration: General Management, Operations

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18 Dec 2017, 07:17
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, 10:18
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
Re D01-34 &nbs [#permalink] 18 Feb 2018, 10:18

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# D01-34

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