NEW HERE? LEARN MORE
closeclose
Last visit was: 15 May 2024, 14:32 It is currently 15 May 2024, 14:32
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A right triangle has sides of length 2, 5, and x. A second right trian

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93287
Own Kudos [?]: 624030 [7]
Given Kudos: 81872
Send PM
CAT Tests Forum Quiz Mode
A right triangle has sides of length 2, 5, and x. A second right trian [#permalink] New post   20 Nov 2022, 23:54
6
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

85% (hard)

Question Stats:

49% (03:05) correct 51% (02:48) wrong based on 39 sessions
Hide Show timer Statistics
A right triangle has sides of length 2, 5, and x. A second right triangle has sides of length 4, 7, and y. A third right triangle has sides of length x, y, and n. Which of the following could be the value of n?

A. 3
B. 6
C. 8
D. 9
E. 10
ShowHide Answer
Official Answer
B
User avatar
P
Rabab36
Senior Manager
Senior Manager
Joined: 17 Jun 2022
Posts: 250
Own Kudos [?]: 125 [0]
Given Kudos: 67
Send PM
Re: A right triangle has sides of length 2, 5, and x. A second right trian [#permalink] New post   21 Nov 2022, 03:48
from traingle 1

value of x
3<x<7
x can be 4,5,6

from triangle 2
Y can be
3<y<11

Y=4,5,6,7,8,9,10

IF WE TAKE X=6 Y=8
WE GET N=10

OPTION E

I AM, NOT SURE ABOUT ANS

Bunuel
User avatar
P
Rabab36
Senior Manager
Senior Manager
Joined: 17 Jun 2022
Posts: 250
Own Kudos [?]: 125 [0]
Given Kudos: 67
Send PM
Re: A right triangle has sides of length 2, 5, and x. A second right trian [#permalink] New post   25 Nov 2022, 03:47
explanation pls

Bunuel
User avatar
S
G-Man
Manager
Manager
Joined: 01 Apr 2022
Posts: 52
Own Kudos [?]: 34 [1]
Given Kudos: 56
Location: India
Schools: ISB '25 (I) IIMA '25 (A)
GMAT 1: 690 Q50 V34
GMAT 2: 730 Q49 V40
GPA: 4
Send PM
Reviews Badge
A right triangle has sides of length 2, 5, and x. A second right trian [#permalink] New post   25 Nov 2022, 10:29
1
Kudos
It is mentioned that both triangles are right-angle triangles.
Dimensions of the first triangle are 2,5,x
Then 3<x<7 is any real value in this range.
Here X could be the hypotenuse or 5 could be the hypotenuse. Those are the two values for X
If X is the hypotenuse, X = sqrt(29)
If 5 is the hypotenuse, X = sqrt(21)

Similarly for triangle two, Y = sqrt(33) or Y = sqrt(65)

In the final triangle, x,y,n, we can apply the same logic and quickly we can work out all possible values for n
n = sqrt(54), sqrt(86), sqrt(62), sqrt(94), sqrt(4), sqrt(44), sqrt(12), sqrt(36)

from this, 6 is the answer
B

Please share if there's a better way to get to the answer :).
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 33019
Own Kudos [?]: 828 [0]
Given Kudos: 0
Send PM
Re: A right triangle has sides of length 2, 5, and x. A second right trian [#permalink] New post   08 Apr 2024, 23:58
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: A right triangle has sides of length 2, 5, and x. A second right trian [#permalink]
08 Apr 2024, 23:58
Moderators:
Bunuel
Math Expert
93287 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3136 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions