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# What is the area of a right triangle with side p, n and s?

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Manager
Joined: 04 Sep 2006
Posts: 113
What is the area of a right triangle with side p, n and s? [#permalink]

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04 Jun 2009, 10:33
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What is the area of a right triangle with side p, n and s?
1). ns=108
2). p>n>s
Senior Manager
Joined: 16 Jan 2009
Posts: 355
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 14:35
What is the area of a right triangle with side p, n and s?
1). ns=108
We do not know whether this product includes hypot or not.
INSUFFICIENT

2). p>n>s
INSUFFICIENT

TOGETHER:
ns=108
p>n>s
so p – hypot

SUFFICIENT
IMO C
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Lahoosaher

Manager
Joined: 28 Jan 2004
Posts: 201
Location: India

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04 Jun 2009, 21:44
n=2 and s = 54 so p = 54.03 and area = 54
n=3 and s= 36 so p = 36.12 and area = 54

Is it just a matter of fact that despite we have differetnt dimensions but the area came out to be same.Because initally i though the answer to be E ans there were more then 1 value of n and s.are we suppose to really calculate the area ?
Manager
Joined: 16 Apr 2009
Posts: 230
Schools: Ross

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06 Jun 2009, 15:36
Quote:
n=2 and s = 54 so p = 54.03 and area = 54
n=3 and s= 36 so p = 36.12 and area = 54

Is it just a matter of fact that despite we have differetnt dimensions but the area came out to be same.Because initally i though the answer to be E ans there were more then 1 value of n and s.are we suppose to really calculate the area ?

Being a right triangle, the sides should follow the Pythagorean theorem.
Quote:
What is the area of a right triangle with side p, n and s?
1). ns=108
2). p>n>s

1). ns=108
ns=2x2x2x3x3
It can be
n=4, s=18
n=8,s=9 etc;

2). p>n>s
As p is the greatest side, Area =1/2 ns.

Both 1 and 2 are needed to give the area of triangle.

Hope this post was useful..
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Keep trying no matter how hard it seems, it will get easier.

Manager
Joined: 11 Aug 2008
Posts: 150

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08 Jun 2009, 19:25
1) ns = 108, we do not know if n,s or p is the hypotenuse of the right triangle. So if n or s is the hypotenuse, we cant have the area of the right triangle
2) p>n>s => p is the hypotenuse
Hence C
Re: area   [#permalink] 08 Jun 2009, 19:25
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