It is currently 24 Feb 2018, 10:20

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

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

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

Hide Tags

1 KUDOS received
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 526
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

New post 05 Feb 2012, 18:09
1
This post received
KUDOS
10
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (00:49) correct 43% (01:00) wrong based on 367 sessions

HideShow timer Statistics

Attachment:
doubletr_q1.png
doubletr_q1.png [ 9.74 KiB | Viewed 6081 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
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43896
Re: Length of BE [#permalink]

Show Tags

New post 05 Feb 2012, 18:14
3
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
Attachment:
doubletr_q1.png
doubletr_q1.png [ 9.74 KiB | Viewed 6050 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 the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 526
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Re: Length of BE [#permalink]

Show Tags

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
V
Joined: 02 Sep 2009
Posts: 43896
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

New post 25 May 2013, 03:42
Manager
Manager
avatar
Joined: 07 May 2013
Posts: 104
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

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: 104
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

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: 324
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

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.....

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13764
Premium Member
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13764
Premium Member
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

New post 03 Mar 2016, 21:47
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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13764
Premium Member
Re: If B is the midpoint of AC, what is the length of BE? [#permalink]

Show Tags

New post 02 May 2017, 04:49
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] 02 May 2017, 04:49
Display posts from previous: Sort by

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

  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 | 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®.