BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Area of a triangle with coordinates provided

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sat Jun 30, 2012 7:35 pm
topspin360 wrote:What is the area of a triangle with the following vertices L(1,3), M(5,1), and N(3,5)?
If you are good with calculation and remembering formulas, you can easily solve this problem.

The area of triangle formed by the coordinates (x1, y1), (x2, y2), and (x3, y3) is given by
  • A = |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|/2
Hence, area of the triangle = |1*(1 - 5) + 5*(5 - 3) + 3*(3 - 1)|/2 = |-4 + 10 + 6|/2 = 12/2 = 6

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Master | Next Rank: 500 Posts
Posts: 103
Joined: Sat Jun 02, 2012 9:46 pm
Thanked: 1 times

by topspin360 » Sat Jun 30, 2012 8:06 pm
yessir, pretty good at remembering. thanks!
Top
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pm
Location: New Delhi, India
Thanked: 205 times
Followed by:24 members

by GMATinsight » Fri Sep 30, 2016 7:03 pm
topspin360 wrote:Is there any way to solve this problem without creating a graph? Any simple way that can be used in under 2 minutes?

thanks

What is the area of a triangle with the following vertices L(1,3), M(5,1), and N(3,5)?
3
4
5
6
7
Please find attached the two solutions.
Attachments
Solution GMATinsight.jpg
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Sat Oct 01, 2016 7:51 am
Now that you know the technique, you can practice your speed with this one: https://www.beatthegmat.com/coordinate-g ... 16975.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1