Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

It is currently 28 Mar 2017, 20:41

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The longest straight line that can be inscribed in an isosce

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

Hide Tags

1 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 894
Followers: 15

Kudos [?]: 1130 [1] , given: 543

The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 20 Jul 2013, 05:41
1
This post received
KUDOS
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

43% (02:10) correct 57% (01:38) wrong based on 165 sessions

HideShow timer Statistics

The longest straight line that can be inscribed in an isosceles triangle with area 10 and no obtuse angles is

A. less than 5

B. greater than or equal to 5, but less than 7.5

C. greater than or equal to 7.5, but less than 10

D. greater than or equal to 10, but less than 20.

E. greater than 20.
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 387 [0], given: 50

Reviews Badge
Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 20 Jul 2013, 05:51
Answer Option E.

No obtuse angle. Lets say its a right angled triangle with height 20 & base 1 (so area is 20X1X0.5). Definitely we can inscribe a line greater than 20. Or we can take the height as 40 & base as 0.5 too.
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Intern
Intern
avatar
Joined: 12 Jul 2012
Posts: 14
Concentration: Strategy, General Management
GMAT 1: 700 Q51 V34
GPA: 3.5
Followers: 0

Kudos [?]: 1 [0], given: 6

Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 19 Aug 2013, 02:40
Hi

How can the answer be E.
Doesn't the question says that its an isosceles triangle ??

Please help !!
Expert Post
1 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 37659
Followers: 7411

Kudos [?]: 99853 [1] , given: 11051

Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 19 Aug 2013, 03:18
1
This post received
KUDOS
Expert's post
ankitD wrote:
The longest straight line that can be inscribed in an isosceles triangle with area 10 and no obtuse angles is

A. less than 5
B. greater than or equal to 5, but less than 7.5
C. greater than or equal to 7.5, but less than 10
D. greater than or equal to 10, but less than 20.
E. greater than 20.

Hi

How can the answer be E.
Doesn't the question says that its an isosceles triangle ??

Please help !!


Consider the figure below:
Attachment:
Area.png
Area.png [ 2.51 KiB | Viewed 1693 times ]
Area=1/2*1/2*40=10 --> the longest straight line that can be inscribed > 40 > 20.

Hope it helps.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 338 [1] , given: 102

Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 19 Aug 2013, 04:57
1
This post received
KUDOS
fozzzy wrote:
The longest straight line that can be inscribed in an isosceles triangle with area 10 and no obtuse angles is

A. less than 5

B. greater than or equal to 5, but less than 7.5

C. greater than or equal to 7.5, but less than 10

D. greater than or equal to 10, but less than 20.

E. greater than 20.


Let perpendicular = P
base = B

Now, 1/2 . B . P = 10
or, B . P = 20
Possibilities of the lengths B = 20 then P = 1
or, B = 200 And P = 1/10 Thus we can extract various values over 20 . So longest is more than 20 .
_________________

Asif vai.....

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 14494
Followers: 609

Kudos [?]: 174 [0], given: 0

Premium Member
Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 23 Mar 2015, 12:27
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

SVP
SVP
User avatar
G
Joined: 17 Jul 2014
Posts: 2383
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '19 (D)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Followers: 26

Kudos [?]: 293 [0], given: 147

GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 28 Mar 2016, 19:22
tricky one..thanks bunuel for the picture..
I picked C..as I thought that max we can have is a 45-45-90 triangle..where the base=height...now i see..
Manager
Manager
avatar
Joined: 01 Mar 2014
Posts: 141
Schools: Tepper '18
Followers: 4

Kudos [?]: 8 [0], given: 616

Re: The longest straight line that can be inscribed in an isosce [#permalink]

Show Tags

New post 01 Apr 2016, 02:12
Asifpirlo wrote:
fozzzy wrote:
The longest straight line that can be inscribed in an isosceles triangle with area 10 and no obtuse angles is

A. less than 5

B. greater than or equal to 5, but less than 7.5

C. greater than or equal to 7.5, but less than 10

D. greater than or equal to 10, but less than 20.

E. greater than 20.


Let perpendicular = P
base = B

Now, 1/2 . B . P = 10
or, B . P = 20
Possibilities of the lengths B = 20 then P = 1
or, B = 200 And P = 1/10 Thus we can extract various values over 20 . So longest is more than 20 .


Did pretty much the same thing and got B.P = 20. But got confused as to what implication does the information "no obtuse angles" have. Can you please explain? Thank you.
Re: The longest straight line that can be inscribed in an isosce   [#permalink] 01 Apr 2016, 02:12
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic A and B are the end points of the longest line that can be drawn in a SajjadAhmad 1 24 Feb 2017, 07:46
8 Experts publish their posts in the topic A farmer owns a square parcel of land, on which the longest straight-l Bunuel 6 30 Jan 2015, 07:30
2 10 straight lines, no two of which are parallel and no three gmatacequants 1 20 May 2014, 13:14
7 Experts publish their posts in the topic What is the longest straight line that can be inscribed in a fozzzy 4 21 May 2013, 02:09
16 Experts publish their posts in the topic The number of straight line miles traveled downriver in one danzig 5 27 Dec 2012, 10:25
Display posts from previous: Sort by

The longest straight line that can be inscribed in an isosce

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.