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Which of the following must be true?

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Which of the following must be true? [#permalink]

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New post Updated on: 29 Sep 2016, 01:23
1
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

59% (01:22) correct 41% (02:08) wrong based on 51 sessions

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Which of the following must be true?

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Originally posted by AsadAbu on 28 Sep 2016, 14:59.
Last edited by AsadAbu on 29 Sep 2016, 01:23, edited 1 time in total.
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Re: Which of the following must be true? [#permalink]

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New post Updated on: 29 Sep 2016, 01:20
Hi Bunuel,
In the question, there is no indication that the ''y'' of R and the ''y'' of Q are same. So, why did we say that its correct choice is B?
Thanks Expert...
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Originally posted by AsadAbu on 28 Sep 2016, 15:02.
Last edited by AsadAbu on 29 Sep 2016, 01:20, edited 1 time in total.
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Re: Which of the following must be true? [#permalink]

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New post 28 Sep 2016, 15:59
For triangle Q we know the area is 50 1/2 (b*h)=1/2(10*10)

And for triangle P I got the area was 25√3 so I'm lost how they can all be equal
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Re: Which of the following must be true? [#permalink]

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New post 29 Sep 2016, 00:16
Area of 1st triangle = (√3/4)*A^2 which gives us Area = 25√3

Area of 2nd triangle = (1/2)b*h = 50

We will have to calculate Y from 2nd triangle and it comes out to 5√5

Area of 3rd Triangle = (1/2)b*h, where as per figure b and h are equal to Y

So, area of 3rd Triangle = (1/2) Y * Y = (1/2) 5√5*5√5 = 125/2

So, as per my understanding it would be option B.

Pls help if its correct.
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Re: Which of the following must be true? [#permalink]

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New post 29 Sep 2016, 01:08
iMyself : Are we sure the OA is correct? I got B as the answer.
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Re: Which of the following must be true? [#permalink]

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New post 29 Sep 2016, 01:22
abhimahna wrote:
iMyself : Are we sure the OA is correct? I got B as the answer.

I'm sorry for my mistake. I've edited it again.
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Re: Which of the following must be true? [#permalink]

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New post 28 Feb 2017, 04:29
(I) area of triangle P = √3*10*10/4 = 25√3 =25*1.73
(II) area of triangle Q = ½ *10*10 = 50 = 25*2 and y = 5√5
(III) area of triangle R = ½ *y*y = 125/2 = 25 *2.5

Therefore we can say that III>II>I . option B
Re: Which of the following must be true?   [#permalink] 28 Feb 2017, 04:29
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