1) DS Triangle Area

This topic has expert replies
Source: — Data Sufficiency |

Legendary Member
Posts: 576
Joined: Sat Mar 13, 2010 8:31 pm
Thanked: 97 times
Followed by:1 members

by liferocks » Fri Apr 30, 2010 10:06 pm
I think the ans is E.
not enough information is present to calculate the area of triangle.
what is OA?
"If you don't know where you are going, any road will get you there."
Lewis Carroll

Master | Next Rank: 500 Posts
Posts: 226
Joined: Sun Aug 09, 2009 4:34 am

by ern5231 » Sun May 02, 2010 1:11 pm
OA is E :-)

Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 am
Thanked: 173 times
Followed by:2 members
GMAT Score:710

by gmatmachoman » Tue May 04, 2010 6:07 am
liferocks wrote:I think the ans is E.
not enough information is present to calculate the area of triangle.
what is OA?
@LR..

did u try using Hero' formula S=(a+b+c)* 0.5

I am getting area is less than 20 !!

Tried couple of random values of X,Y,Z satisfying the given conditions on both extremes.

IMO C...

Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pm
Thanked: 50 times
Followed by:4 members

by akhpad » Tue May 04, 2010 8:50 am
ern5231 wrote:1) btg a triangle, three sides are x, y, z. Is the area of triangle less than 20?

1> x ^ 2 + y ^ 2 is not equal to z ^ 2
2> x + y <= 13
Statement 1:
It tells only that one angle is not equal to 90 degree

Not Sufficient

Statement 2:
x + y <= 13

Assume max value
x + y = 13

x = 6.5, y=6.5, z=6.5; Area = 18.294
x = 6, y=7, z=10; Area = 20.662

Not Sufficient

Statement 1 and 2
Stmt 1 does not add anything to stmt 2.

Not Sufficient

Answer E

Master | Next Rank: 500 Posts
Posts: 126
Joined: Wed Jun 24, 2009 1:12 pm
Location: Montreal
Thanked: 2 times
GMAT Score:510

by ssuarezo » Wed May 05, 2010 6:45 am
ern5231 wrote:1) btg a triangle, three sides are x, y, z. Is the area of triangle less than 20?

1> x ^ 2 + y ^ 2 is not equal to z ^ 2
2> x + y <= 13
Off topic:
Ern ... whats btg?
Silvia

User avatar
GMAT Instructor
Posts: 613
Joined: Thu Mar 22, 2007 6:17 am
Location: madrid
Thanked: 171 times
Followed by:64 members
GMAT Score:790

by kevincanspain » Wed May 19, 2010 3:41 am
akhp77 wrote:
ern5231 wrote:1) btg a triangle, three sides are x, y, z. Is the area of triangle less than 20?

1> x ^ 2 + y ^ 2 is not equal to z ^ 2
2> x + y <= 13
Statement 1:
It tells only that one angle is not equal to 90 degree

Not Sufficient

Statement 2:
x + y <= 13

Assume max value
x + y = 13

x = 6.5, y=6.5, z=6.5; Area = 18.294
x = 6, y=7, z=10; Area = 20.662

Not Sufficient

Statement 1 and 2
Stmt 1 does not add anything to stmt 2.

Not Sufficient

Answer E
If it were a isosceles right triangle with the right angle opposite the side measuring z units, its area would be (13/2)^2/2 =169/8 > 20. Thus, if the angle opposite the side measuring z units were slightly more than 90º, the area could still be more than 20. Of course, the area could be considerably less than 20 if the other two sides were vastly different in length, so the answer is E
Kevin Armstrong
GMAT Instructor
Gmatclasses
Madrid