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# D01-34

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Intern
Joined: 06 Jun 2017
Posts: 5

Kudos [?]: 0 [0], given: 20

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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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Math Expert
Joined: 02 Sep 2009
Posts: 42670

Kudos [?]: 136007 [0], given: 12723

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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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Kudos [?]: 136007 [0], given: 12723

Intern
Joined: 09 Jun 2014
Posts: 11

Kudos [?]: 6 [0], given: 43

Location: United States
Concentration: General Management, Operations

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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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Re D01-34   [#permalink] 17 Dec 2017, 00:47

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# D01-34

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