GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The figure shows a smaller square with sides of length y ins
[#permalink]
11 Dec 2017, 10:31
11 Dec 2017, 10:31
2
Expert Reply
00:00
Question Stats:
91% (01:34) correct
8% (02:27) wrong based on 23 sessions
Hide Show timer Statistics
Attachment:
square (2).jpg [ 13.22 KiB | Viewed 7505 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. \((x-z)^2 + z^2 = y^2\)
Re: The figure shows a smaller square with sides of length y ins
[#permalink]
12 Dec 2017, 05:56
12 Dec 2017, 05:56
2
1
Bookmarks
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. \((x-z)^2 + z^2 = y^2\)
Show: :: 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 7479 times ]
Re: The figure shows a smaller square with sides of length y ins
[#permalink]
06 Nov 2019, 03:11
06 Nov 2019, 03:11
Expert Reply
Awesome explanation 
