Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 25 May 2013, 01:17
Customize  |  Hide

Search
Register
New posts
Unanswered

Area of triangle, given ratio of interior angles

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 18 Aug 2009
Posts: 313
Followers: 2

Kudos [?]: 50 [0], given: 9

GMAT Tests User
Area of triangle, given ratio of interior angles [#permalink] New post 01 Nov 2009, 04:06
00:00

Question Stats:

83% (02:57) correct 16% (00:38) wrong based on 0 sessions
Please see the image (click + to enlarge)
Attachments

clubPlaceholder.JPG
clubPlaceholder.JPG [ 14.4 KiB | Viewed 1298 times ]

1 KUDOS received
Manager
Manager
User avatar
Joined: 22 Jul 2008
Posts: 101
Location: Bangalore,Karnataka
Followers: 3

Kudos [?]: 25 [1] , given: 11

Re: Area of triangle, given ratio of interior angles [#permalink] New post 01 Nov 2009, 04:19
1
This post received
KUDOS
angles in ratio x:2x:3x so its a 30-60-90 triangle and with shortest side 1, from trigonometry we have hypotenuse =2 and longest side =\sqrt{3},

so area =1/2 * base * height
= 1/2 * 1 *\sqrt{3}
= \sqrt{3}/2 which is D
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11611
Followers: 1802

Kudos [?]: 9600 [1] , given: 829

GMAT Tests User CAT Tests
Top Member of the Month
Re: Area of triangle, given ratio of interior angles [#permalink] New post 01 Nov 2009, 04:56
1
This post received
KUDOS
x+2x+3x=180 --> x=30 degrees, 2x=60 degrees, 3x=90 degrees.

Hence we have right triangle 30-60-90 and the shortest side=1.

For the right triangle 30-60-90 the ratio of sides are 1/\sqrt{3}/2, as the shortest side is 1: Area=1*\sqrt{3}/2=\sqrt{3}/2

Answer: D.
_________________

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

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 32 [0], given: 54461

CAT Tests
Re: Area of triangle, given ratio of interior angles [#permalink] New post 01 Nov 2009, 04:22
x+2x+3x=180

x=180/6, x=30

so the angles are 30,60,90

and AB is the shortest side and it has to be oppsite to 30.

in 30-60-90 combination the ratio of lengths are 1:\sqrt{3}:2

so the one opp to 60 is \sqrt{3}

one opp to 90 is 2

the area is \sqrt{3}
Senior Manager
Senior Manager
User avatar
Joined: 18 Aug 2009
Posts: 313
Followers: 2

Kudos [?]: 50 [0], given: 9

GMAT Tests User
Re: Area of triangle, given ratio of interior angles [#permalink] New post 01 Nov 2009, 04:41
divyakatas wrote:
x+2x+3x=180

x=180/6, x=30

so the angles are 30,60,90

and AB is the shortest side and it has to be oppsite to 30.

in 30-60-90 combination the ratio of lengths are 1:\sqrt{3}:2

so the one opp to 60 is \sqrt{3}

one opp to 90 is 2

the area is \sqrt{3}


kirankp has it right and you are very close, something wrong in the final step...
OA:
[Reveal] Spoiler:
D
Re: Area of triangle, given ratio of interior angles   [#permalink] 01 Nov 2009, 04:41
    Similar topics Author Replies Last post
Similar
Topics:
 New posts An obtuse triangle is a triangle that has an interior angle kevincan 6 24 Jul 2006, 06:34
New posts An obtuse triangle is a triangle that has an interior angle kevincan 9 26 Jul 2006, 13:26
New posts 1 ratio of areas of triangles ritula 6 31 May 2008, 05:53
New posts Area of the Interior angles of Rectangle ? Snowingreen 2 09 Feb 2010, 17:34
New posts EXPERTS_POSTS_IN_THIS_TOPIC If the measures of the angle in a triangle are in the ratio Splendidgirl666 1 19 Jan 2012, 17:25
Display posts from previous: Sort by

Area of triangle, given ratio of interior angles

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com