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

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Manager
Joined: 02 Sep 2008
Posts: 103

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03 May 2009, 20:59
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CEO
Joined: 17 Nov 2007
Posts: 3525
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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04 May 2009, 15:55
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
Joined: 23 May 2008
Posts: 757

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06 May 2009, 01:37
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

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Re: Area of triangle..........   [#permalink] 06 May 2009, 01:37
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