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

Redeem

What is the greatest possible area of a triangle region with

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
GMAT Instructor
Posts: 1578
Joined: Thu May 28, 2009 8:02 am
Thanked: 128 times
Followed by:34 members
GMAT Score:760

by Osirus@VeritasPrep » Thu Feb 18, 2010 12:25 pm
I would pick B

To find the greatest area we want to maximize the base and the height. If one vertex is at the center and the other two points lie on the circle, that means that two sides have length 1. Which means that the triangle is at the least an isoceles triangle. the two legs would be 1 and 1. The area would be .5bh or in this case .5(1)(1)= 1/2
https://www.beatthegmat.com/the-retake-o ... 51414.html

Brandon Dorsey
GMAT Instructor
Veritas Prep

Buy any Veritas Prep book(s) and receive access to 5 Practice Cats for free! Learn More.
Top
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Thu Feb 18, 2010 12:53 pm
imane81 wrote:Please advise on this one

What is the greatest possible area of a triangle region with one vertex at the center of a circle of radius 1 and the other 2 vertices on the circle?
A. sqrt(3)/4
B. 1/2
C. pi/4
D. 1
E. sqrt(2)
If the triangle makes 90 degrees at the center the area = 1/2
If the triangle makes 60 degrees at the center the area = sqrt(3)/4
If the triangle makes 120 degrees at the center the area = sqrt(3)/4

I go for B
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
Post new topic Post Reply
• Page 1 of 1