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

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Manager
Joined: 02 Sep 2008
Posts: 103
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Kudos [?]: 35 [0], given: 1

Area of triangle.......... [#permalink]  03 May 2009, 19:59
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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CEO
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 414

Kudos [?]: 2245 [0], given: 359

Re: Area of triangle.......... [#permalink]  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
Joined: 23 May 2008
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Kudos [?]: 40 [0], given: 0

Re: Area of triangle.......... [#permalink]  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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