Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 May 2015, 01:39

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If B is the midpoint of AC, what is the length of BE?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 552
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 22

Kudos [?]: 1052 [0], given: 217

If B is the midpoint of AC, what is the length of BE? [#permalink] New post 05 Feb 2012, 18:09
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (01:47) correct 45% (00:58) wrong based on 151 sessions
Attachment:
doubletr_q1.png
doubletr_q1.png [ 9.74 KiB | Viewed 2157 times ]
If B is the midpoint of AC, what is the length of BE?

(1) <BAE = 60 degrees

(2) CD = \(\sqrt{12}\)
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27526
Followers: 4327

Kudos [?]: 42561 [1] , given: 6038

Re: Length of BE [#permalink] New post 05 Feb 2012, 18:14
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Attachment:
doubletr_q1.png
doubletr_q1.png [ 9.74 KiB | Viewed 2142 times ]

If B is the midpoint of AC, what is the length of BE?

As angle E=Angle D then BE||CD. Now as B is the midpoint of AC and BE||CD then BE becomes a midsegment (a line segment joining the midpoints of two sides of a triangle). The property of midsegemnt: the midsegment is always half the length of the third side. So 2BE=CD.

(1) <BAE = 60 degrees --> triangles BAE and CAD are 30-60-90 triangles where BE is a midsegment. We know only angles but not the lengths, so can not find BE. Not sufficient.

(2) CD = \(\sqrt{12}\) --> as 2BE=CD then \(BE=\frac{CD}{2}=\sqrt{3}\). Sufficient.

Answer: B.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 552
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 22

Kudos [?]: 1052 [0], given: 217

Re: Length of BE [#permalink] New post 05 Feb 2012, 18:15
You are a legend buddy. Top explanation.
_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27526
Followers: 4327

Kudos [?]: 42561 [0], given: 6038

Re: If B is the midpoint of AC, what is the length of BE? [#permalink] New post 25 May 2013, 03:42
Expert's post
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 12 [0], given: 1

Re: If B is the midpoint of AC, what is the length of BE? [#permalink] New post 05 Aug 2013, 17:57
Another EASIER way of looking at the problem
(1) we know the angle but not length of any side. Insufficient. Proceed to D

(2)CD=Root 12
Use property of similarity and we get that triangle ABC is similar to triangle ACD

AC/AB=DC/BE

As B is a midpoint of AC we get 2AB=AC

2AB/AB=Root12/BE

BE=Root12/2
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 12 [0], given: 1

Re: If B is the midpoint of AC, what is the length of BE? [#permalink] New post 05 Aug 2013, 17:59
typing mistake above. "proceed to 2" and not "proceed to D"
sorry.
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 343
Followers: 3

Kudos [?]: 179 [0], given: 102

Re: If B is the midpoint of AC, what is the length of BE? [#permalink] New post 05 Aug 2013, 22:18
enigma123 wrote:
Attachment:
doubletr_q1.png
If B is the midpoint of AC, what is the length of BE?

(1) <BAE = 60 degrees

(2) CD = \(\sqrt{12}\)


st(2), BE II CD and B is the midpoint.
so BE = 1/2 CD = fixed value.
st(1) provides no fixed value, so insufficient.
Answer (B)
_________________

Asif vai.....

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 4959
Followers: 300

Kudos [?]: 55 [0], given: 0

Premium Member
Re: If B is the midpoint of AC, what is the length of BE? [#permalink] New post 16 Sep 2014, 11:26
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

Re: If B is the midpoint of AC, what is the length of BE?   [#permalink] 16 Sep 2014, 11:26
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic BC=BD=DC=AD. If AB= 10, what is the length of AC? emmak 7 11 Mar 2013, 23:42
1 Experts publish their posts in the topic If B is the midpoint of AC, what is the length of BE? shrive555 3 15 Nov 2010, 11:00
1 In triangle ABC, point X is the midpoint of side AC and arjtryarjtry 12 01 Aug 2008, 03:27
In triangle ABC, point X is the midpoint of side AC and ricokevin 5 26 Apr 2007, 05:51
If triangle AOB is equilateral, O is the midpoint of AC, and keeeeeekse 8 26 Sep 2006, 06:23
Display posts from previous: Sort by

If B is the midpoint of AC, what is the length of BE?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.