GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Feb 2019, 16:12

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Online GMAT boot camp for FREE

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# In the graph above, RS^2 + ST^2 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53063
In the graph above, RS^2 + ST^2 =  [#permalink]

### Show Tags

17 Dec 2017, 22:16
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:19) correct 12% (01:20) wrong based on 66 sessions

### HideShow timer Statistics

In the graph above, RS^2 + ST^2 =

(A) 4
(B) 17
(C) 26
(D) 32
(E) 41

Attachment:

2017-12-18_1010_001.png [ 11.95 KiB | Viewed 905 times ]

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2796
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: In the graph above, RS^2 + ST^2 =  [#permalink]

### Show Tags

18 Dec 2017, 04:39
Bunuel wrote:

In the graph above, RS^2 + ST^2 =

(A) 4
(B) 17
(C) 26
(D) 32
(E) 41

Attachment:
2017-12-18_1010_001.png

RS^2 + ST^2 = RT^2

R = (1,4)
T = (5,3)

i.e. RT $$= (\sqrt{(3-4)^2 + (5-1)^2}$$

i.e. RT = √17

i.e. RS^2 + ST^2 = 17

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Senior SC Moderator
Joined: 22 May 2016
Posts: 2491
Re: In the graph above, RS^2 + ST^2 =  [#permalink]

### Show Tags

18 Dec 2017, 13:48
1
Bunuel wrote:

In the graph above, RS^2 + ST^2 =

(A) 4
(B) 17
(C) 26
(D) 32
(E) 41

Attachment:
The attachment 2017-12-18_1010_001.png is no longer available

Attachment:

2017-12-18_1010_001ed.png [ 25.28 KiB | Viewed 630 times ]

Another way (not using distance formula):

Imagine or draw another right triangle that shares a hypotenuse, RT, with ∆ RST - see diagram

Original ∆ RST:
RS$$^2$$ + ST$$^2$$ = RT$$^2$$

New ∆ QRT:
QR$$^2$$ + QT$$^2$$ = RT$$^2$$
• QR = 4 (subtract x-coordinates of Q and R)
• QT = 1 (subtract y-coordinates of Q and T)
(4$$^2$$ + 1$$^2$$) = (16 + 1) = 17

_________________

To live is the rarest thing in the world.
Most people just exist.

Oscar Wilde

Re: In the graph above, RS^2 + ST^2 =   [#permalink] 18 Dec 2017, 13:48
Display posts from previous: Sort by

# In the graph above, RS^2 + ST^2 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.