It is currently 22 Jul 2019, 08:33

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# The figure shows a smaller square with sides of length y ins

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7418
Followers: 125

Kudos [?]: 1454 [0], given: 6625

The figure shows a smaller square with sides of length y ins [#permalink]  11 Dec 2017, 10:31
Expert's post
00:00

Question Stats:

100% (01:42) correct 0% (00:00) wrong based on 2 sessions
Attachment:

square (2).jpg [ 13.22 KiB | Viewed 996 times ]

The figure shows a smaller square with sides of length y inscribed in a larger square with sides of length x. Which of the following relationships between x, y, and z must be true ?

A. $$x^2 = y^2 + z^2$$

B. $$x^2 = y^2 - z^2$$

C. $$(x-z)^2 = y^2$$

D. $$(x-y)^2 = z^2$$

E. $$(x-z)^2 + z^2 = y^2$$
_________________
Director
Joined: 20 Apr 2016
Posts: 948
WE: Engineering (Energy and Utilities)
Followers: 13

Kudos [?]: 708 [1] , given: 152

Re: The figure shows a smaller square with sides of length y ins [#permalink]  12 Dec 2017, 05:56
1
KUDOS
Carcass wrote:
Attachment:
The attachment square (2).jpg is no longer available

The figure shows a smaller square with sides of length y inscribed in a larger square with sides of length x. Which of the following relationships between x, y, and z must be true ?

A. $$x^2 = y^2 + z^2$$

B. $$x^2 = y^2 - z^2$$

C. $$(x-z)^2 = y^2$$

D. $$(x-y)^2 = z^2$$

E. $$(x-z)^2 + z^2 = y^2$$

[Reveal] Spoiler: OA
OA in 24h

Here
we can write as the attached diagram

Now since it is square and all angles are right angle triangle

therefore by Pythagoras theorem ; y is the hypotenuse and x and (x-z) are the two legs of the triangle

$$(x-z)^2 + z^2 = y^2$$ ; which is option E
Attachments

square %282%29.jpg [ 14.92 KiB | Viewed 977 times ]

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Re: The figure shows a smaller square with sides of length y ins   [#permalink] 12 Dec 2017, 05:56
Display posts from previous: Sort by

# The figure shows a smaller square with sides of length y ins

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.