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Intern
Joined: 06 Jun 2017
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Re: D0134
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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.
Answer: D Hi , If I use the formula ( ax(bycy)+bx(cyay)+cx(ayby) )/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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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.
Answer: D Hi , If I use the formula ( ax(bycy)+bx(cyay)+cx(ayby) )/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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Re D0134
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17 Dec 2017, 00:47
I think this is a highquality question and I agree with explanation. loved the concept!!



Manager
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18 Dec 2017, 06:17
I think this is a highquality question. loved it.



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Joined: 27 Mar 2017
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18 Feb 2018, 09:18
I think this is a highquality question and the explanation isn't clear enough, please elaborate. It is not clear in the explanation why the area is the same



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Joined: 27 May 2018
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Re: D0134
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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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28 Sep 2018, 08:02



Intern
Status: All our dreams can come true, if we have the courage to pursue them
Joined: 03 Jul 2015
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17 Nov 2018, 05:30
I think this is a highquality question and I agree with explanation.



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Joined: 21 Aug 2018
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18 Nov 2018, 04:42
I fail to understand how is the height of the triangles calculated? please explain.



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16 Dec 2018, 15:26
The graph did everything. I am so mad I missed this question now.







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