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

Redeem

DS Geom

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Junior | Next Rank: 30 Posts
Posts: 27
Joined: Tue Aug 02, 2011 2:50 am

DS Geom

by wingsoffire » Fri Oct 21, 2011 9:30 am
Here's a DS question. Geometry triangle concept.

Is triangle ABC obtuse angled
I) a^2 + b^2 > c^2
II) The center of the circle circumscribing the triangle does not lie inside the triangle

Please give detailed exp as to why each case is valid or invalid & why a specific option was chosen invalidating the other.
Experts Kindly chip in !
Top
Source: — Quantitative Reasoning |
User avatar
Legendary Member
Posts: 748
Joined: Sun Jan 31, 2010 7:54 am
Thanked: 46 times
Followed by:3 members

by outreach » Fri Oct 21, 2011 7:37 pm
option 1:
We do not know if C is longest side. hence insufficient
option 2:
i)acute angled triangle, the center of the circle circumscribing the triangle lies inside the triangle.
ii)right triangle, the center of the circle circumscribing the triangle lies at the mid point of the hypotenuse.
iii)obtuse angled triangle, the center of the circle circumscribing the triangle lies outside the triangle
from option 2 the ABC can be right or obtuse angled

option 1 and option 2: we cannot conclude anything
hence E
-------------------------------------
--------------------------------------
General blog
https://amarnaik.wordpress.com
MBA blog
https://amarrnaik.blocked/
Top
Post new topic Post Reply
• Page 1 of 1