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Area of triangle..........

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Manager
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Joined: 02 Sep 2008
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Area of triangle.......... [#permalink] New post 03 May 2009, 19:59
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CEO
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Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Kudos [?]: 1856 [0], given: 359

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Re: Area of triangle.......... [#permalink] New post 04 May 2009, 14:55
Expert's post
The area of a triangle is S = 1/2 * h * a.

Let's a = center, vertex 1 = 1
Now, we can move vertex 2 along a circle and find that h is maximum only if vertex 2 - center - vertex 1 angle is a right angle. So, S = 1/2 * 1 * 1 = 1/2
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Director
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Re: Area of triangle.......... [#permalink] New post 06 May 2009, 00:37
triangle inscribed in a semicircle will be a right triangle, in this case a right isoceles a=s^2/2. s= radius of circle so s^2/2= 1/2
Re: Area of triangle..........   [#permalink] 06 May 2009, 00:37
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Area of triangle..........

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