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XY = YZ

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sandy

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GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

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XY = YZ [#permalink]

26 Sep 2018, 14:50

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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.

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C

B

amorphous

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Re: XY = YZ [#permalink]

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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Re: XY = YZ [#permalink]

24 Oct 2018, 01:12

can you prove the explanation?

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Re: XY = YZ [#permalink]

11 Jan 2019, 21:29

Two triangle have same base and height. Hence they are equal.

chetan2u

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Re: XY = YZ [#permalink]

11 Jan 2019, 22:36

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sandy wrote:

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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

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