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1) DS Triangle Area

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Source: — Data Sufficiency |
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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?
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by ern5231 » Sun May 02, 2010 1:11 pm
OA is E :-)
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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...
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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
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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?
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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
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