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XY = YZ

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GRE Prep Club Legend
GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1895 [0], given: 397

XY = YZ [#permalink] New post 26 Sep 2018, 14:50
Expert's post
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Question Stats:

63% (00:19) correct 36% (00:31) wrong based on 19 sessions
Attachment:
Capture.JPG
Capture.JPG [ 11.91 KiB | Viewed 588 times ]


XY = YZ

Quantity A
Quantity B
The area of XWY
The area of YWZ


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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Director
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Joined: 07 Jan 2018
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Re: XY = YZ [#permalink] New post 22 Oct 2018, 23:08
Given xy = yz
Therefore the two triangles in the question have the same base. Also they have the same height which is the perpendicular dropped from point w to the line xz
Hence they have the same area
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Manager
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Re: XY = YZ [#permalink] New post 24 Oct 2018, 01:12
can you prove the explanation?
Director
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Re: XY = YZ [#permalink] New post 11 Jan 2019, 21:29
Two triangle have same base and height. Hence they are equal.
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Re: XY = YZ [#permalink] New post 11 Jan 2019, 22:36
Expert's post
sandy wrote:
Attachment:
The attachment Capture.JPG is no longer available


XY = YZ

Quantity A
Quantity B
The area of XWY
The area of YWZ


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Look at the attached figure..
Draw a perpendicular from W to line XZ meeting at A
The area of XWY = \(\frac{1}{2}*XY*AW\)
The area of YWZ = \(\frac{1}{2}*ZY*AW\)... now ZY=AW...
Therefore, the area of YWZ = \(\frac{1}{2}*ZY*AW\)=\(\frac{1}{2}*XY*AW\)=area of XWY

C
Attachments

Capture1.JPG
Capture1.JPG [ 14.61 KiB | Viewed 282 times ]


_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: XY = YZ   [#permalink] 11 Jan 2019, 22:36
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