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

It is currently 20 Apr 2014, 10:24

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

M24 Q22

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
Joined: 18 Jan 2010
Posts: 10
Followers: 0

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

M24 Q22 [#permalink] New post 04 May 2010, 07:38
In triangle ABC, point O lies on side AC and segment BO is perpendicular to AC. If angle BAO = angle BCA = 45 degrees and BC=1, what is the area of triangle ABO?

1/4
1/2
1
radical2
2

Please explain in details.
Thanks in advance
Senior Manager
Senior Manager
Joined: 25 Jun 2009
Posts: 315
Followers: 2

Kudos [?]: 64 [0], given: 6

GMAT Tests User
Re: M24 Q22 [#permalink] New post 05 May 2010, 10:08
gmat00 wrote:
In triangle ABC, point O lies on side AC and segment BO is perpendicular to AC. If angle BAO = angle BCA = 45 degrees and BC=1, what is the area of triangle ABO?

1/4
1/2
1
radical2
2

Please explain in details.
Thanks in advance


Refer the attached figure.,

Angle ABC = 90, BO is the prependicular to side AC and hence it will also be the prependicular bisector for the side AC ( as angles BAO = BCA = 45)

this also implies that angle ABO =CBO = 45 hence CO=BO=AO = X

hyp theorm x^2 + x^2 = 1
x^2= \frac{1}{2}

x= \frac{1}{\sqrt{2}}

Area of trianle ABO =\frac{1}{2} * AO* BO

Area = \frac{1}{2} * x^2= \frac{1}{2} *\frac{1}{2} = \frac{1}{4}
Attachments

untitled.JPG
untitled.JPG [ 7.9 KiB | Viewed 802 times ]

Director
Director
User avatar
Joined: 24 Aug 2007
Posts: 957
WE 1: 3.5 yrs IT
WE 2: 2.5 yrs Retail chain
Followers: 48

Kudos [?]: 626 [0], given: 40

GMAT Tests User
Re: M24 Q22 [#permalink] New post 05 May 2010, 10:18
1/4.

Since both the angles are 45 degrees, triangle ABC has to be a right angled triangled at B. So, AB = BC =1
Ar(ABC)=1/2x1x1 = 1/2

Therefore, Ar(ABO) = 1/2xAr(ABC) = 1/4.

gmat00 wrote:
In triangle ABC, point O lies on side AC and segment BO is perpendicular to AC. If angle BAO = angle BCA = 45 degrees and BC=1, what is the area of triangle ABO?

1/4
1/2
1
radical2
2

Please explain in details.
Thanks in advance

_________________

Want to improve your CR: cr-methods-an-approach-to-find-the-best-answers-93146.html
Tricky Quant problems: 50-tricky-questions-92834.html
Important Grammer Fundamentals: key-fundamentals-of-grammer-our-crucial-learnings-on-sc-93659.html

Intern
Intern
Joined: 18 Jan 2010
Posts: 10
Followers: 0

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

Re: M24 Q22 [#permalink] New post 06 May 2010, 12:29
Thanks guys :-D
Re: M24 Q22   [#permalink] 06 May 2010, 12:29
    Similar topics Author Replies Last post
Similar
Topics:
New posts Experts publish their posts in the topic m24 - 19 chengliu 2 24 May 2008, 17:59
This topic is locked, you cannot edit posts or make further replies. New 16 Experts publish their posts in the topic M24 #4 snowy2009 24 04 Oct 2008, 12:50
Popular new posts 7 Experts publish their posts in the topic M24#34 ventivish 15 28 Nov 2008, 23:19
Popular new posts 13 Experts publish their posts in the topic M24 Q 24 icandy 19 12 Mar 2009, 13:54
Popular new posts 3 Experts publish their posts in the topic M24 Q 33 icandy 19 12 Mar 2009, 13:59
Display posts from previous: Sort by

M24 Q22

  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: Bunuel, WoundedTiger



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®.