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# GMAT Prep

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Senior Manager
Joined: 12 Mar 2009
Posts: 301

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02 Jun 2009, 23:25
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I have answered this Q but want to understand the way to solve this.

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Senior Manager
Joined: 15 Jan 2008
Posts: 262

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03 Jun 2009, 02:25
The Question clearly says that the traingle is a right angles isosceles triangle..

hence the sides wud be x,x,root2*x

2x+root2*x = 16+16root2
root2*x*(root2 + 1) = 16root2(root2 + 1)

X = 16

Intern
Joined: 27 Apr 2009
Posts: 12

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03 Jun 2009, 10:22
As we know the right angle triangle with two equal side (isosceles) has side ratio in 1:1:root2
so according to question , the perimeter is 16+16root2
so the sides are 8root2:8root2:16
so the hypotenuse is 16
Intern
Joined: 27 Apr 2009
Posts: 12

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03 Jun 2009, 10:28
hence the sides wud be x,x,root2*x

2x+root2*x = 16+16root2
root2*x*(root2 + 1) = 16root2(root2 + 1)

X = 16

Neochronic , please check the detail before posting.
you said 2x+root2*x = 16+16root2
in first part 2x is equal to 16, that means x = 8
and in second part root2*x is equal to 16root2, that means x = 16
hows that possible?
SVP
Joined: 29 Aug 2007
Posts: 2425

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03 Jun 2009, 14:58
vaivish1723 wrote:
I have answered this Q but want to understand the way to solve this.

Isosceles triangle has :

Base = perpendicular = ab = bc
Hypoteneous = ac

ac^2 = ab^2 + bc^2
ac^2 = ab^2 + ab^2
ac^2 = 2ab^2
ac = ab Sqrt(2)
Perimeter of the triangle = ab+bc+ac
16+16(sqrt2) = ab+ ab + ab Sqrt (2)
16 + 8 (sqrt2) + 8 (sqrt2) = ab Sqrt (2) + ab + ab
ab = bc = 8 (sqrt2)
ac = 16
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Senior Manager
Joined: 15 Jan 2008
Posts: 262

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04 Jun 2009, 02:10

i was so wrong here..

Thats why i loose so many points uncessarily..

will defnitely try to improve..

2x+root2*x = 16+16root2
root2*x*(root2 + 1) = 16root2(root2 + 1) ---> wrong deduction .. it shud be 16(1+root2)

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: GMAT Prep &nbs [#permalink] 04 Jun 2009, 02:10
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